# School of Mathematics

## Prof Jonathan R Partington

Professor of Pure Mathematics

Pure Mathematics

### Contact details

Room: 9.13

Tel: +44 (0)113 3435123

Email: J.R.Partington @ leeds.ac.uk

### Keywords

Functional analysis

Operator theory

Systems and Control

Hardy Spaces

Delay Systems

Interpolation and Approximation

Semigroups of operators

Hankel, Toeplitz and composition operators

## Research interests

My research interests range widely, from pure mathematical topics to more applied themes.

On the pure side I am working with Banach spaces of analytic functions, including the classical Hardy spaces. Associated with these are special classes of linear operators, particularly Hankel, Toeplitz and composition operators. Other research topics concern interpolation in function spaces, invariant subspaces of operators and semigroups of operators.

On the applied side, I am interested in systems and control theory (particularly infinite-dimensional systems): here I have been working on delay systems and fractional systems, and also on questions of controllability, observability and admissibility. Analytic approximation methods are used in identification problems, including inverse problems for partial differential equations. Finally, an old interest, namely rational approximation (model reduction), also resurfaces occasionally.

### Useful links

Home page, with various links

Publications

Postdocs and graduate students

Teaching

## Publications

**Jacob B, Partington JR, Pott S, Wynn A** β-admissibility of observation operators for hypercontractive semigroups *Journal of Evolution Equations*, 1-18, 2017

DOI:10.1007/s00028-017-0395-1

View abstract

**Câmara MC, Partington JR** Asymmetric truncated toeplitz operators and toeplitz operators with matrix symbol *Journal of Operator Theory*, **77**, 455-479, 2017

DOI:10.7900/jot.2016apr27.2108

View abstract

**Abusaksaka AB, Partington JR** Diffusive systems and weighted Hankel operators *Operators and Matrices*, **11**, 125-132, 2017

DOI:10.7153/oam-11-09

View abstract

**Gallardo-Gutiérrez EA, Partington JR, Rodríguez DJ** An extension of a theorem of Domar on invariant subspaces *Acta Scientiarum Mathematicarum*, **83**, 271-290, 2017

DOI:10.14232/actasm-015-837-7

View abstract

**Chalendar I, Partington JR** Compactness, differentiability and similarity to isometry of composition semigroups In *Problems and Recent Methods in Operator Theory*, **687**, 67-73, 2017

DOI:10.1090/conm/687/13726

View abstract

**Gallardo-Gutiérrez EA, Partington JR, Rodríguez DJ** A continuous model for quasinilpotent operators *Mathematische Zeitschrift*, **284**, 781-790, 2016

DOI:10.1007/s00209-016-1673-2

View abstract

**Chalendar I, Partington JR** A class of quasicontractive semigroups acting on Hardy and weighted Hardy spaces *Semigroup Forum*, 1-12, 2016

DOI:10.1007/s00233-016-9823-8

View abstract

**Câmara MC, Malheiro MT, Partington JR** Model spaces and toeplitz kernels in reflexive hardy space *Operators and Matrices*, **10**, 127-148, 2016

DOI:10.7153/oam-10-09

View abstract

**Chalendar I, Partington JR** Phragmén–Lindelöf Principles for Generalized Analytic Functions on Unbounded Domains *Complex Analysis and Operator Theory*, **10**, 61-68, 2016

DOI:10.1007/s11785-015-0453-z

View abstract

**Câmara MC, Partington JR** Spectral properties of truncated Toeplitz operators by equivalence after extension *Journal of Mathematical Analysis and Applications*, **433**, 762-784, 2016

DOI:10.1016/j.jmaa.2015.08.019

View abstract

**Câmara MC, Partington JR** Finite-dimensional Toeplitz kernels and nearly-invariant subspaces *Journal of Operator Theory*, **75**, 75-90, 2016

DOI:10.7900/jot.2014oct29.2067

View abstract

**Chalendar I, Gallardo-Gutiérrez EA, Partington JR** Weighted composition operators on the Dirichlet space: boundedness and spectral properties *Mathematische Annalen*, **363**, 1265-1279, 2015

DOI:10.1007/s00208-015-1195-y

View abstract

**Chalendar I, Esterle J, Partington JR** Lower estimates near the origin for functional calculus on operator semigroups *Journal of Functional Analysis*, **269**, 1620-1635, 2015

DOI:10.1016/j.jfa.2015.07.005

View abstract

**Avicou C, Chalendar I, Partington JR** A class of quasicontractive semigroups acting on Hardy and Dirichlet space *Journal of Evolution Equations*, **15**, 647-665, 2015

DOI:10.1007/s00028-015-0276-4

View abstract

**Avicou C, Chalendar I, Partington JR** Analyticity and compactness of semigroups of composition operators *Journal of Mathematical Analysis and Applications*, 2015

DOI:10.1016/j.jmaa.2016.01.010

View abstract

**Partington JR** A primer on the Dirichlet space (Cambridge Tracts in Mathematics 203) By Omar El-Fallah, Karim Kellay, Javad Mashreghi and Thomas Ransford *Bulletin of the London Mathematical Society*, **47**, 720-722, 2015

DOI:10.1112/blms/bdv028

**Makila PM; Partington JR ** *Practical shift approximations of delay systems*European Control Conference, ECC 1999 - Conference Proceedings, 4668-4673 2015

View abstract

**Chalendar I, Esterle J, Partington JR** Dichotomy results for norm estimates in operator semigroups In *Operator Theory: Advances and Applications*, **250**, 119-131, 2015

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**Partington JR, Câmara MC** Near invariance and kernels of Toeplitz operators *Journal d'Analyse Mathematique*, **124**, 235-260, 2014

DOI:10.1007/s11854-014-0031-8

View abstract

**Bashar Abusaksaka A, Partington JR** BIBO stability of some classes of delay systems and fractional systems *Systems and Control Letters*, **64**, 43-46, 2014

DOI:10.1016/j.sysconle.2013.11.009

View abstract

**Jacob B, Partington JR, Pott S** Applications of laplace-carleson embeddings to admissibility and contro llability *SIAM Journal on Control and Optimization*, **52**, 1299-1313, 2014

DOI:10.1137/120894750

View abstract

**Chalendar I, Gorkin P, Partington JR** Prime and semiprime inner functions *JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES*, **88**, 779-800, 2013

DOI:10.1112/jlms/jdt038

**Chalendar I, Partington JR** Norm estimates for weighted composition operators on spaces of holomorphic functions *Complex Analysis and Operator Theory*, **8**, 1087-1095, 2013

DOI:10.1007/s11785-013-0340-4

View abstract

**Gallardo-Gutiérrez EA, Partington JR** A generalization of the aleksandrov operator and adjoints of weighted composition operators *Annales de l'Institut Fourier*, **63**, 373-389, 2013

DOI:10.5802/aif.2763

View abstract

**Gallardo-Gutiérrez EA, Partington JR** Norms of composition operators on weighted Hardy spaces *Israel Journal of Mathematics*, **196**, 273-283, 2013

DOI:10.1007/s11856-012-0148-3

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**Jacob B, Partington JR, Pott S** Weighted multiple interpolation and the control of perturbed semigroup systems *Journal of Evolution Equations*, **13**, 395-410, 2013

DOI:10.1007/s00028-013-0184-4

View abstract

**Leblond J, Partington JR, Pozzi E** Best Approximation in Hardy Spaces and by Polynomials, with Norm Constraints *Integral Equations and Operator Theory*, **75**, 491-516, 2013

DOI:10.1007/s00020-013-2036-6

View abstract

**Jacob B, Partington JR, Pott S** On Laplace-Carleson embedding theorems *Journal of Functional Analysis*, **264**, 783-814, 2013

DOI:10.1016/j.jfa.2012.11.016

View abstract

**Leblond J, Partington JR, Pozzi E** Best Approximation in Hardy Spaces and by Polynomials, with Norm Constraints *Integral Equations and Operator Theory*, 1-26, 2013

DOI:10.1007/s00020-013-2036-6

View abstract

**Jacob B, Partington JR, Pott S** Weighted multiple interpolation and the control of perturbed semigroup systems *Journal of Evolution Equations*, 1-16, 2013

DOI:10.1007/s00028-013-0184-4

View abstract

**Chalendar I, Gorkin P, Partington JR** The group of invariants of an inner function with finite spectrum *Journal of Mathematical Analysis and Applications*, **389**, 1259-1267, 2012

DOI:10.1016/j.jmaa.2012.01.005

View abstract

**Partington JR** An Epsilon of Room, I: Real Analysis (pages from year three of a mathematical blog) (Graduate Studies in Mathematics 117) *Bulletin of the London Mathematical Society*, **44**, 203-205, 2012

DOI:10.1112/blms/bdr114

**Jacob B, Partington JR, Pott S** On Laplace-Carleson embedding theorems *Journal of Functional Analysis*, 2012

DOI:10.1016/j.jfa.2012.11.016

View abstract

**Chalendar I, Gorkin P, Partington JR** Determination of inner functions by their value sets on the circle *Computational Methods and Function Theory*, **11**, 353-373, 2011

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**Fischer Y, Leblond J, Partington JR, Sincich E** Bounded extremal problems in Hardy spaces for the conjugate Beltrami equation in simply-connected domains *APPL COMPUT HARMON A*, **31**, 264-285, 2011

DOI:10.1016/j.acha.2011.01.003

**Partington JR, Pozzi E** UNIVERSAL SHIFTS AND COMPOSITION OPERATORS *OPER MATRICES*, **5**, 455-467, 2011

**Bonnet C, Fioravanti AR, Partington JR** STABILITY OF NEUTRAL SYSTEMS WITH COMMENSURATE DELAYS AND POLES ASYMPTOTIC TO THE IMAGINARY AXIS *SIAM J CONTROL OPTIM*, **49**, 498-516, 2011

DOI:10.1137/090776275

**Bendouad Z, Chalendar I, Esterle J, Partington JR** Distances between elements of a semigroup and estimates for derivatives *ACTA MATH SIN*, **26**, 2239-2254, 2010

DOI:10.1007/s10114-010-8569-6

**Gallardo-Gutierrez EA, Partington JR** The role of BMOA in the boundedness of weighted composition operators (vol 258, pg 3593, 2010) *J FUNCT ANAL*, **259**, 2757-2758, 2010

DOI:10.1016/j.jfa.2010.07.021

**Jacob B, Partington JR, Pott S** Weighted interpolation in Paley-Wiener spaces and finite-time controllability *J FUNCT ANAL*, **259**, 2424-2436, 2010

DOI:10.1016/j.jfa.2010.06.014

**Gallardo-Gutiérrez EA, Partington JR** Erratum to The role of BMOA in the boundedness of weighted composition operators [ J. Funct. Anal. 258, 11, (2010), 3593-3603] *Journal of Functional Analysis*, **259**, 2757-2758, 2010

DOI:10.1016/j.jfa.2010.07.021

**Gallardo-Gutierrez EA, Kumar R, Partington JR** Boundedness, Compactness and Schatten-class Membership of Weighted Composition Operators *INTEGR EQUAT OPER TH*, **67**, 467-479, 2010

DOI:10.1007/s00020-010-1795-6

**Gallardo-Gutierrez EA, Partington JR** The role of BMOA in the boundedness of weighted composition operators *J FUNCT ANAL*, **258**, 3593-3603, 2010

DOI:10.1016/j.jfa.2010.02.019

**Atfeh B, Baratchart L, Leblond J, Partington JR** Bounded Extremal and Cauchy-Laplace Problems on the Sphere and Shell *J FOURIER ANAL APPL*, **16**, 177-203, 2010

DOI:10.1007/s00041-009-9110-0

**Chalendar I, Chevrot N, Partington JR** NEARLY INVARIANT SUBSPACES FOR BACKWARDS SHIFTS ON VECTOR-VALUED HARDY SPACES *J OPERAT THEOR*, **63**, 403-415, 2010

**Chalendar I, Gorkin P, Partington JR** BOUNDARY INTERPOLATION AND APPROXIMATION BY INFINITE BLASCHKE PRODUCTS *MATH SCAND*, **107**, 305-319, 2010

**Chalendar I; Partington JR; Pozzi E ** *Multivariable weighted composition operators: Lack of point spectrum, and cyclic vectors*Operator Theory: Advances and Applications, 63-85 2010

View abstract

**Jacob B, Partington J, Pott S, Zwart H** Mini-Workshop: Wellposedness and Controllability of Evolution Equations *Oberwolfach Reports*, 3269-3309, 2010

DOI:10.4171/OWR/2010/56

**Chalendar I, Esterle J, Partington JR** Boundary values of analytic semigroups and associated norm estimates *Banach Center Publications*, **91**, 87-103, 2010

DOI:10.4064/bc91-0-5

**Bonnet C, Fioravanti AR, Partington JR** Stability of neutral systems with multiple delays and poles asymptotic to the imaginary axis *Proceedings of the IEEE Conference on Decision and Control*, 269-273, 2009

DOI:10.1109/CDC.2009.5399762

View abstract

**Jacob B, Partington JR, Pott S** Tangential Interpolation in Weighted Vector-valued H-p Spaces, with Applications *COMPLEX ANAL OPER TH*, **3**, 697-727, 2009

DOI:10.1007/s11785-008-0081-y

**Jaoua M, Leblond J, Mahjoub M, Partington JR** Robust numerical algorithms based on analytic approximation for the solution of inverse problems in annular domains *IMA J APPL MATH*, **74**, 481-506, 2009

DOI:10.1093/imamat/hxn041

**Chalendar I, Gorkin P, Partington JR** NUMERICAL RANGES OF RESTRICTED SHIFTS AND UNITARY DILATIONS *OPER MATRICES*, **3**, 271-281, 2009

**Haak BH, Jacob B, Partington JR, Pott S** Admissibility and controllability of diagonal Volterra equations with scalar inputs *J DIFFER EQUATIONS*, **246**, 4423-4440, 2009

DOI:10.1016/j.jde.2009.02.004

**Jacob B, Partington JR, Pott S** Zero-class admissibility of observation operators *SYST CONTROL LETT*, **58**, 406-412, 2009

DOI:10.1016/j.sysconle.2009.01.009

**Gallardo-Gutierrez EA, Partington JR, Segura D** CYCLIC VECTORS AND INVARIANT SUBSPACES FOR BERGMAN AND DIRICHLET SHIFTS *J OPERAT THEOR*, **62**, 199-214, 2009

**Gallardo-Gutierrez EA, Partington JR** Invariant subspaces for translation, dilation and multiplication semigroups *J ANAL MATH*, **107**, 65-78, 2009

DOI:10.1007/s11854-009-0003-6

**Chalendar I, Chevrot N, Partington JR** INVARIANT SUBSPACES FOR THE SHIFT ON THE VECTOR-VALUED L-2 SPACE OF AN ANNULUS *J OPERAT THEOR*, **61**, 313-330, 2009

**Chalendar I, Partington JR** Doubly-invariant subspaces for the shift on the vector-valued Sobolev spaces of the disc and annulus *INTEGR EQUAT OPER TH*, **61**, 149-158, 2008

DOI:10.1007/s00020-008-1578-5

**Leblond J, Marmorat JP, Partington JR** Analytic approximation under real constraints, with applications to inverse diffusion problems *Journal of Inverse and Ill-posed Problems*, **16**, 89-105, 2008

**Gallardo-Gutierrez EA, Partington JR** Common hypercyclic vectors for families of operators *Proceedings of the American Mathematical Society*, **136**, 119-126, 2008

**Chalendar I, Partington J** Invariant subspaces for products of Bishop operators *Acta Scientarum Mathematicarum Szeged*, **74**, 717-725, 2008

**Jacob B, Partington JR, Pott S** Interpolation by vector-valued analytic functions, with applications to controllability *Journal of Functional Analysis*, **252**, 517-549, 2007

DOI:10.1016/j.jfa.2007.07.008

**Jacob B, Partington JR** A resolvent test for admissibility of Volterra observation operators *J MATH ANAL APPL*, **332**, 346-355, 2007

DOI:10.1016/j.jmaa.2006.10.023

**Chalendar I, Partington JR** Applications of moment problems to the overcompleteness of sequences *Mathematica Scandinavica*, **101**, 249-260, 2007

**Chalendar I, Partington JR** Multivariable approximate Carleman-type theorems for complex measures *Annals of Probability*, **35**, 384-396, 2007

DOI:10.1214/009117906000000377

**Chalendar I, Flattot A, Partington JR** The method of minimal vectors applied to weighted composition operators In *The extended field of operator theory*, 89-105, 2007

**Bonnet C, Partington JR** Stabilization of some fractional delay systems of neutral type *Automatica*, **43**, 2047-2053, 2007

**Partington JR, Smith RC** L-1 factorizations and invariant subspaces for weighted composition operators *ARCH MATH*, **87**, 564-571, 2006

DOI:10.1007/s00013-006-1780-0

**Chalendar I, Fricain E, Partington JR** Overcompleteness of sequences of reproducing kernels in model spaces *INTEGR EQUAT OPER TH*, **56**, 45-56, 2006

DOI:10.1007/s00020-005-1413-1

**Makila PM, Partington JR** A two-operator approach to robust stabilization of linear systems on R *INT J CONTROL*, **79**, 1026-1038, 2006

DOI:10.1080/00207170600678843

**Partington JR** Good bases *LECT NOTES CONTR INF*, **327**, 95-102, 2006

**Chalendar I, Partington JR** An image problem for compact operators *Proceedings of the American Mathematical Society*, **134**, 1391-1396, 2006

DOI:10.1090/S0002-9939-05-08084-6

**Fournier JD; Grimm J; Leblond J; Partington JR ** *Harmonic analysis and rational approximation*. Springer-Verlag 2006

**Leblond J, Mahjoub M, Partington JR** Analytic extensions and Cauchy-type inverse problems on annular domains: stability results *Journal of Inverse and Ill-posed Problems*, **14**, 189-204, 2006

DOI:10.1163/156939406777571049

**Partington JR** Fourier transforms and complex analysis *LECT NOTES CONTR INF*, **327**, 39-55, 2006

**Jacob B, Partington JR** On controllability of diagonal systems with one-dimensional input space *Systems and Control Letters*, **55**, 321-328, 2006

DOI:10.1016/j.sysconle.2005.08.008

**Winkin JJ, Callier FM, Jacob B, Partington JR** SPECTRAL FACTORIZATION BY SYMMETRIC EXTRACTION FOR DISTRIBUTED PARAMETER SYSTEMS *SIAM JOURNAL ON CONTROL AND OPTIMIZATION*, **43**, 1435-1466, 2005

DOI:10.1137/S0363012902416456

**Winkin J, Callier F, Jacob B, Partington JR** Spectral factorization by symmetric extraction for distributed parameter systems *SIAM Journal on Control and Optimization*, **43**, 1435-1466, 2005

DOI:10.1137/S0363012902416456

**Kumar R, Partington JR** Weighted composition operators on Hardy and Bergman spaces In *Recent advances in operator theory, operator algebras, and their applications*, 157-167, 2005

**Chalendar I, Partington JR** Variations on Lomonosov's theorem via the technique of minimal vectors *Acta Scientiarum Mathematicarum*, **71**, 603-617, 2005

**Partington JR, Makila PM** Rational approximation of distributed-delay controllers *International Journal of Control*, **78**, 1295-1301, 2005

**Gallardo-Gutierrez EA, Partington JR** Supercyclic vectors and the Angle Criterion *STUD MATH*, **166**, 93-99, 2005

**Chalendar I, Partington JR, Smith RC** L-1 factorizations, moment problems and invariant subspaces *Studia Mathematica*, **167**, 183-194, 2005

**Partington JR, Pott S** Admissibility and exact observability of observation operators for semigroups *Irish Mathematical Society Bulletin*, **55**, 19-39, 2005

**Chalendar I, Partington JR** Convergence properties of minimal vectors for normal operators and weighted shifts *Proceedings of the American Mathematical Society*, **133**, 501-510, 2005

DOI:10.1090/S0002-9939-04-07595-1

**Chalendar I, Habsieger L, Partington JR, Ransford TJ** Approximate Carleman theorems and a Denjoy-Carleman maximum principle *ARCH MATH*, **83**, 88-96, 2004

DOI:10.1007/s00013-004-0608-z

**Partington JR, Bonnet C** H∞ and BIBO stabilization of delay systems of neutral type *Systems and Control Letters*, **52**, 283-288, 2004

DOI:10.1016/j.sysconle.2003.09.014

View abstract

**Makila PM, Partington JR** Least-squares LTI approximation of nonlinear systems and quasistationarity analysis *AUTOMATICA*, **40**, 1157-1169, 2004

DOI:10.1016/j.automatica.2004.02.008

**Galindo F** Some remarks on“On the windowed Fourier transform and wavelet transform of almost periodic functions,” by J.R. Partington and B. Ünalmış *Applied and Computational Harmonic Analysis*, **16**, 174-181, 2004

DOI:10.1016/j.acha.2004.03.002

**Partington JR** Some frequency-domain approaches to the model reduction of delay systems *ANNU REV CONTROL*, **28**, 65-73, 2004

DOI:10.1016/j.arcontrol.2004.01.007

**Chalendar I, Partington JR, Smith M** Approximation in reflexive Banach spaces and applications to the invariant subspace problem *Proceedings of the American Mathematical Society*, **132**, 1133-1142, 2004

DOI:10.1090/S0002-9939-03-07152-1

**Jacob B, Partington JR** Admissible control and observation operators for Volterra integral equations *J EVOL EQU*, **4**, 333-343, 2004

DOI:10.1007/s00028-004-0152-0

**Partington JR ** *Linear operators and linear systems*. Cambridge University press 2004

**Partington JR, Bonnet C** H-infinity and BIBO stabilization of delay systems of neutral type *Systems and Control Letters*, **52**, 283-288, 2004

DOI:10.1016/j.sysconle.2003.09.014

**Makila PM, Partington JR** Input-output stabilization of linear systems on Z *IEEE Transactions on Automatic Control*, **49**, 1916-1928, 2004

DOI:10.1109/TAC.2004.837593

**Jacob B, Partington JR** Admissibility of control and observation operators for semigroups: a survey In *Current trends in operator theory and its applications*, 199-221, 2004

**Bonnet C, Partington JR** Robust stability analysis of various classes of delay systems In *Advances in time-delay systems*, 245-256, 2004

**Partington JR** Model reduction of delay systems In *Unsolved problems in mathematical systems and control theory*, 29-32, 2004

**Bonnet C, Partington JR, Sorine M** A modified matching pursuit algorithm applied to the approximation of vecto-cardiogram data *International Journal of Pure and Applied Mathematics*, **15**, 25-35, 2004

**Jacob B, Partington JR, Pott S** Conditions for admissibility of observation operators and boundedness of Hankel operators *INTEGR EQUAT OPER TH*, **47**, 315-338, 2003

DOI:10.1007/s00020-002-1165-0

**Chalendar I, Partington JR** On the structure of invariant subspaces for isometric composition operators on H-2(D) and H-2(C+) *ARCH MATH*, **81**, 193-207, 2003

DOI:10.1007/s00013-003-0533-6

**Chalendar I, Partington JR** On the structure of invariant subspaces for isometric composition operators on H^{2}(double struck D sign) and H^{2}(ℂ*Archiv der Mathematik*, **81**, 193-207, 2003

DOI:10.1007/s00013-003-0533-6

View abstract

**Baratchart L, Grimm J, Leblond J, Partington JR** Asymptotic estimates for interpolation and constrained approximation in H^{2}by diagonalization of Toeplitz operators *Integral Equations and Operator Theory*, **45**, 269-299, 2003

DOI:10.1007/s000200300005

**Makila PM, Partington JR** On linear models for nonlinear systems *Automatica*, **39**, 1-13, 2003

DOI:10.1016/S0005-1098(02)00183-8

**Chalendar I, Partington JR** Spectral density for multiplication operators with applications to factorization of L-1 functions *J OPERAT THEOR*, **50**, 411-422, 2003

**Chalendar I, Partington JR** Constrained approximation and invariant subspaces *Journal of Mathematical Analysis and Applications*, **280**, 176-187, 2003

DOI:10.1016/S0022-247X(03)00099-4

**Partington JR, Makila PM** Input-output stabilization on the doubly-infinite time axis *International Journal of Control*, **75**, 981-987, 2002

DOI:10.1080/00207170210156170

**Jacob B, Leblond J, Marmorat JP, Partington JR** A constrained approximation problem arising in parameter identification *LINEAR ALGEBRA APPL*, **351**, 487-500, 2002

**Partington JR, Bonnet C** Analysis of fractional delay systems of retarded and neutral type *Automatica*, **38**, 1133-1138, 2002

DOI:10.1016/S0005-1098(01)00306-5

**Partington JR, Makila PM** On system gains for linear and nonlinear systems *Systems and Control Letters*, **46**, 129-136, 2002

DOI:10.1016/S0167-6911(02)00127-5

**Jacob B, Partington JR, Pott S** Admissible and weakly admissible observation operators for the right shift semigroup *P EDINBURGH MATH SOC*, **45**, 353-362, 2002

DOI:10.1017/S0013091500001024

**Chalendar I, Partington JR** Interpolation between Hardy spaces on circular domains with applications to approximation *Archiv der Mathematik*, **78**, 223-232, 2002

DOI:10.1007/s00013-002-8240-2

**Harrison KJ, Partington JR, Ward JA** Input-output identifiability of continuous-time linear systems *Journal of Complexity*, **18**, 210-223, 2002

DOI:10.1006/jcom.2001.0587

**Partington JR, Sankaran GK** Algebraic construction of normalized coprime factors for delay systems *MATH CONTROL SIGNAL*, **15**, 1-12, 2002

**Jacob B, Partington JR** The Weiss conjecture on admissibility of observation operators for contraction semigroups *Integral Equations and Operator Theory*, **40**, 231-243, 2001

DOI:10.1007/BF01301467

**Chalendar I, Partington J** factorizations for some perturbations of the unilateral shift *Comptes Rendus de l'Académie des Sciences - Series I - Mathematics*, **332**, 115-119, 2001

DOI:10.1016/S0764-4442(00)01819-X

**Chalendar I, Leblond J, Partington JR** Approximation problems in some holomorphic spaces with applications In *Systems, approximation, singular integral operators, and related topics*, 143-168, 2001

**Partington JR, Chalendar I** L-1 factorizations for some perturbations of the unilateral shift *Academie des Sciences. Comptes Rendus. Serie 1: Mathematique*, **332**, 115-119, 2001

**Bonnet C, Partington JR** Stabilization of fractional exponential systems including delays *KYBERNETIKA*, **37**, 345-353, 2001

**Jacob B, Partington JR** On the boundedness and continuity of the spectral factorization mapping *SIAM Journal on Control and Optimization*, **40**, 88-106, 2001

DOI:10.1137/S036301299935184X

**Partington JR, Unalmis B** On the windowed Fourier transform and wavelet transform of almost periodic functions *APPL COMPUT HARMON A*, **10**, 45-60, 2001

**Mäkilä PM, Partington JR** Robustness in H∞ identification *Automatica*, **36**, 1685-1691, 2000

DOI:10.1016/S0005-1098(00)00074-1

**Partington JR, Weiss G** Admissible observation operators for the right shift semigroup *Mathematics of Control, Signals and Systems*, **13**, 179-192, 2000

**Bonnet C, Partington JR, Sorine M** Robust stabilization of a delay system with saturating actuator or sensor *International Journal of Robust and Nonlinear Control*, **10**, 579-590, 2000

**Baratchart L, Leblond J, Partington JR** Problems of Adamjan-Arov-Krein type on subsets of the circle and minimal-norm extensions *Constructive Approximation*, **16**, 333-357, 2000

**Makila PM, Partington JR** Robustness in H-infinity identification *Automatica*, **36**, 1685-1691, 2000

**Partington JR, Bonnet C** Coprime factorizations and stability of fractional differential systems *Systems and Control Letters*, **41**, 167-174, 2000

**Jacob B, Partington JR** Graphs, closability, and causality of linear time-variant discrete-time systems *International Journal of Control*, **73**, 1051-1060, 2000

**Jacob B, Partington JR, Unalmis B** On discrete-time linear systems with almost periodic kernels *Journal of Mathematical Analysis and Applications*, **252**, 549-570, 2000

**Mäkilä PM, Partington JR** On robustness in system identification *Automatica*, **35**, 907-916, 1999

DOI:10.1016/S0005-1098(98)00223-4

**Bonnet C, Partington JR, Sorine M** Robust control and tracking of a delay system with discontinuous non-linearity in the feedback *International Journal of Control*, **72**, 1354-1364, 1999

DOI:10.1080/002071799220164

**Makila PM, Partington JR** Laguerre and Kautz shift approximations of delay systems *International Journal of Control*, **72**, 932-946, 1999

DOI:10.1080/002071799220678

**Mäkilä PM, Partington JR** Shift Operator Induced Approximations of Delay Systems *SIAM Journal on Control and Optimization*, **37**, 1897-1912, 1999

DOI:10.1137/S0363012998339678

**Partington JR, Makila PM, Norlander T** Bounded power signal spaces for robust control and modelling *SIAM Journal on Control and Optimization*, **37**, 92-117, 1999

**Bonnet C, Partington JR** Bezout factors and L/sup 1/-optimal controllers for delay systems using a two-parameter compensator scheme *IEEE Transactions on Automatic Control*, **44**, 1512-1521, 1999

DOI:10.1109/9.780415

**Leblond J, Partington JR** Constrained approximation and interpolation in Hilbert function spaces *Journal of Mathematical Analysis and Applications*, **234**, 500-513, 1999

**Harrison KJ, Partington JR, Ward JA** Complexity of identification of linear systems with rational transfer functions *Mathematics of Control, Signals, and Systems*, **11**, 265-288, 1998

DOI:10.1007/BF02750393

**Partington JR** Worst-case errors of linear algorithms for identification in H *International Journal of Control*, **69**, 347-352, 1998

DOI:10.1080/002071798222884

**Dudley Ward NF, Partington JR** A construction of rational wavelets and frames in Hardy-Sobolev spaces, with applications to system modelling *SIAM Journal on Control and Optimization*, **36**, 654-679, 1998

**Partington JR,Ünalmiş B** On the representation of shift-invariant operators by transfer functions *Systems&Control Letters*, **33**, 25-30, 1998

DOI:10.1016/S0167-6911(97)00109-6

**Partington JR ** *Interpolation, Identification and Sampling*. Oxford University Press (Clarendon Press) 1997

**Baratchart L, Leblond J, Partington JR, Torkhani N** Robust identification from band-limited data *IEEE Transactions on Automatic Control*, **42**, 1318-1325, 1997

DOI:10.1109/9.623101

**Partington JR, Makila PM** Modeling of linear fading memory systems *IEEE Transactions on Automatic Control*, **41**, 899-903, 1996

DOI:10.1109/9.506247

**DUDLEY WARD NICHOLA, PARTINGTON JONATHA** Robust identification in the disc algebra using rational wavelets and orthonormal basis functions *International Journal of Control*, **64**, 409-423, 1996

DOI:10.1080/00207179608921636

**Partington JR** Recovery of Functions by Interpolation and Sampling *Journal of Mathematical Analysis and Applications*, **198**, 301-309, 1996

DOI:10.1006/jmaa.1996.0084

**Baratchart L, Leblond J, Partington JR** Hardy Approximation to $L^$ Functions on Subsets of the Circle *Constructive Approximation*, **12**, 423-423, 1996

DOI:10.1007/s003659900022

**Mäkilä PM, Partington JR, Gustafsson TK** Worst-case control-relevant identification *Automatica*, **31**, 1799-1819, 1995

DOI:10.1016/0005-1098(95)00106-3

**Dudley Ward NF, Partington JR** Rational wavelet decompositions of transfer functions in hardy-sobolev classes *Mathematics of Control, Signals, and Systems*, **8**, 257-278, 1995

DOI:10.1007/BF01211862

**Partington JR, Mäkilä PM** Analysis of linear methods for robust identification inℓ1 *Automatica*, **31**, 755-758, 1995

DOI:10.1016/0005-1098(94)00163-D

**Partington JR, Mäkilä PM** Worst-case analysis of the least-squares method and related identification methods *Systems&Control Letters*, **24**, 193-200, 1995

DOI:10.1016/0167-6911(94)00008-J

**Mäkilä PM, Partington JR** On bounded-error identification of feedback systems *International Journal of Adaptive Control and Signal Processing*, **9**, 47-61, 1995

DOI:10.1002/acs.4480090106

**Das N, Partington JR** Little Hankel operators on the half plane *Integral Equations and Operator Theory*, **20**, 306-324, 1994

DOI:10.1007/BF01205284

**Partington JR** Interpolation in Normed Spaces from the Values of Linear Functionals *Bulletin of the London Mathematical Society*, **26**, 165-170, 1994

DOI:10.1112/blms/26.2.165

**Partington JR** Worst-case identification inℓ2: linear and nonlinear algorithms *Systems&Control Letters*, **22**, 93-98, 1994

DOI:10.1016/0167-6911(94)90103-1

**Partington JR, Makila PM** Worst-case analysis of identification-BIBO robustness for closed-loop data *IEEE Transactions on Automatic Control*, **39**, 2171-2176, 1994

DOI:10.1109/9.328804

**MÄKILÄ PM, PARTINGTON JR** Robust approximate modelling of stable linear systems† *International Journal of Control*, **58**, 665-683, 1993

DOI:10.1080/00207179308923021

**PARTINGTON JONATHA** Algorithms for identification in H∞ with unequally spaced function measurements *International Journal of Control*, **58**, 21-31, 1993

DOI:10.1080/00207179308922988

**Mäkilä PM, Partington JR** Robust stabilization—BIBO stability, distance notions and robustness optimization *Automatica*, **29**, 681-693, 1993

DOI:10.1016/0005-1098(93)90063-Y

**Jacobson CA, Nett CN, Partington JR** Worst case system identification in l1: Optimal algorithms and error bounds *Systems&Control Letters*, **19**, 419-424, 1992

DOI:10.1016/0167-6911(92)90072-Z

**Partington JR** Worst-case identification in Banach spaces *Systems&Control Letters*, **18**, 423-428, 1992

DOI:10.1016/0167-6911(92)90045-T

**Partington JR** Robust identification in H∞ *Journal of Mathematical Analysis and Applications*, **166**, 428-441, 1992

DOI:10.1016/0022-247X(92)90308-Z

**Makila PM, Partington JR** Robust identification of strongly stabilizable systems *IEEE Transactions on Automatic Control*, **37**, 1709-1716, 1992

DOI:10.1109/9.173141

**PARTINGTON JONATHA** Robust identification and interpolation in H∞ *International Journal of Control*, **54**, 1281-1290, 1991

DOI:10.1080/00207179108934210

**Glover K, Lam J, Partington JR** Rational approximation of a class of infinite-dimensional systems II: Optimal convergence rates ofL∞ approximants *Mathematics of Control, Signals, and Systems*, **4**, 233-246, 1991

DOI:10.1007/BF02551279

**Partington JR** Approximation of delay systems by fourier-laguerre series *Automatica*, **27**, 569-572, 1991

DOI:10.1016/0005-1098(91)90118-L

**Partington JR** Approximation of unstable infinite-dimensional systems using coprime factors *Systems&Control Letters*, **16**, 89-96, 1991

DOI:10.1016/0167-6911(91)90002-V

**Glover K, Lam J, Partington JR** Rational approximation of a class of infinite-dimensional systems I: Singular values of hankel operators *Mathematics of Control, Signals, and Systems*, **3**, 325-344, 1990

DOI:10.1007/BF02551374

**Partington JR, Glover K** Robust stabilization of delay systems by approximation of coprime factors *Systems&Control Letters*, **14**, 325-331, 1990

DOI:10.1016/0167-6911(90)90053-W

**Glover K, Curtain RF, Partington JR** Realisation and Approximation of Linear Infinite-Dimensional Systems with Error Bounds *SIAM Journal on Control and Optimization*, **26**, 863-898, 1988

DOI:10.1137/0326049

**Zwart HJ, Curtain RF, Partington JR, Glover K** Partial fraction expansions for delay systems *Systems&Control Letters*, **10**, 235-243, 1988

DOI:10.1016/0167-6911(88)90012-6

**Partington JR, Glover K, Zwart HJ, Curtain RF** approximation and nuclearity of delay systems *Systems&Control Letters*, **10**, 59-65, 1988

DOI:10.1016/0167-6911(88)90041-2

**Partington JR** Orthogonality in normed spaces *Bulletin of the Australian Mathematical Society*, **33**, 449-449, 1986

DOI:10.1017/S0004972700004020

**Partington JR** Self-Conjugate Polyhedral Banach Spaces *Bulletin of the London Mathematical Society*, **18**, 284-286, 1986

DOI:10.1112/blms/18.3.284

**PARTINGTON JR** B -CONVEXITY, SUPERREFLEXIVITY AND SUMMABILITY *The Quarterly Journal of Mathematics*, **37**, 467-471, 1986

DOI:10.1093/qmath/37.4.467

**Partington JR** Growth conditions on subharmonic functions and resolvents of operators *Mathematical Proceedings of the Cambridge Philosophical Society*, **97**, 321-321, 1985

DOI:10.1017/S0305004100062861

**Partington JR** Maximal Norms on Banach Spaces *Bulletin of the London Mathematical Society*, **17**, 55-56, 1985

DOI:10.1112/blms/17.1.55

**Istrăt‚escu VI, Partington JR** On nearly uniformly convex and k-uniformly convex spaces *Mathematical Proceedings of the Cambridge Philosophical Society*, **95**, 325-325, 1984

DOI:10.1017/S0305004100061594

**Bollobás B, Partington JR** Inequalities for quadratic polynomials in Hermitian and dissipative operators *Advances in Mathematics*, **51**, 271-280, 1984

DOI:10.1016/0001-8708(84)90012-4

On nearly uniformly convex Banach spaces - Corrigenda *Mathematical Proceedings of the Cambridge Philosophical Society*, **94**, 189-189, 1983

DOI:10.1017/S0305004100061016

**Partington JR** The Resolvent of a Hermitian Operator on a Banach Space *Journal of the London Mathematical Society*, **s2-27**, 507-512, 1983

DOI:10.1112/jlms/s2-27.3.507

**Partington JR** On nearly uniformly convex Banach spaces *Mathematical Proceedings of the Cambridge Philosophical Society*, **93**, 127-127, 1983

DOI:10.1017/S0305004100060394

**Partington JR** Norm attaining operators *Israel Journal of Mathematics*, **43**, 273-276, 1982

DOI:10.1007/BF02761947

**Partington JR** Hadamard–Landau inequalities in uniformly convex spaces *Mathematical Proceedings of the Cambridge Philosophical Society*, **90**, 259-259, 1981

DOI:10.1017/S0305004100058710

**Partington JR** Subspaces of certain Banach Sequence Spaces *Bulletin of the London Mathematical Society*, **13**, 162-166, 1981

DOI:10.1112/blms/13.2.162

**Partington JR** Equivalent norms on spaces of bounded functions *Israel Journal of Mathematics*, **35**, 205-209, 1980

DOI:10.1007/BF02761190

**Partington JR** Constants relating a Hermitian operator and its square *Mathematical Proceedings of the Cambridge Philosophical Society*, **85**, 325-325, 1979

DOI:10.1017/S0305004100055742

**Partington JR** Hermitian operators for absolute norms and absolute direct sums *Linear Algebra and its Applications*, **23**, 275-280, 1979

DOI:10.1016/0024-3795(79)90109-5

**Partington JR** On the Banach–Saks property *Mathematical Proceedings of the Cambridge Philosophical Society*, **82**, 369-369, 1977

DOI:10.1017/S0305004100054025

**Partington JR, Gallardo-Gutierrez EA** C0C_0-semigroups of 2-isometries and Dirichlet spaces *Revista Matematica Iberoamericana*

**Chanlendar I, Gorkin P, Partington JR, Ross WT** Clark measures and a theorem of Ritt *Mathematica Scandinavica*

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**Partington JR, Chalendar I, Gorkin P** Inner functions and operator theory *North-Western European Journal of Mathematics*

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