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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 systemsEuropean 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
View abstract

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
View abstract

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
View abstract

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 vectorsOperator 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 H2(double struck D sign) and H2(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 H2by 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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