List of Publications
H. GARTH DALES
Publications List
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1. Boundaries and peak points for Banach function algebras, Proceedings of the London
Mathematical Society (3), 22 (1971), 121{136. MR 43:2510.
2. (with G. R. Allan and J. P. McClure) Pseudo-Banach algebras, Studia Mathematica,
40 (1971), 55{69. MR 48:12061.
3. The union of peak sets for Banach function algebras, Bulletin of the London Math-
ematical Society, 3 (1971), 204{208. MR 44:3130.
4. (with J. P. McClure) Continuity of homomorphisms into certain commutative Ba-
nach algebras, Proceedings of the London Mathematical Society (3), 26 (1973), 69{
81. MR 3998.
5. (with A. M. Davie) Quasi-analytic Banach function algebras, Journal of Functional
Analysis, 13 (1973), 28{50. MR 49:7782.
6. The uniqueness of the functional calculus, Proceedings of the London Mathematical
Society, (3) 27 (1973), 638{648. MR 48:12062.
7. The ring of holomorphic functions on a Stein compact set as a unique factorization
domain, Proceedings of the American Mathematical Society, 44 (1974), 88{92. MR
48:1570.
8. (with J. P. McClure) Completion of normed algebras of polynomials, Journal of the
Australian Mathematical Society, 20 (1975), 504{510. MR 53:3715.
9. Higher point derivations on commutative Banach algebras. In Spaces of analytic
functions, Lecture Notes in Mathematics, 512, Springer{Verlag, 1976, 24{30. MR
58:12377.
10. Exponentiation in Banach star algebras, Proceedings of the Edinburgh Mathematical
Society (Series II), 20 (1976), 163{165. MR 54:5840.
11. (with J. P. McClure) Higher point derivations on commutative Banach algebras, I,
Journal of Functional Analysis, 26 (1977), 166{189. MR 57:13498a.
12. (with J. P. McClure) Higher point derivations on commutative Banach algebras, II,
Journal of the London Mathematical Society (2), 16 (1977), 313{325. MR 57:13498b.
13. A discontinuous homomorphism from C(X), American Journal of Mathematics,
101 (1979), 647{734. MR 81g:46066.
14. (with J. Esterle) Discontinuous homorphisms from C(X), Bulletin of the American
Mathematical Society, 83 (1977), 257{259. MR 55:3791.
15. Discontinuous homomorphisms from topological algebras, American Journal of Math-
ematics, 101 (1979), 635{646. MR 81i:46059.
16. Automatic continuity: a survey, Bulletin of the London Mathematical Society, 10
(1978), 129{183. MR 80c:46053.
17. Embedding C(X) in an algebra of analytic functions, Banach Center Publications,
Warsaw, 8 (1982), 231{236.
18. Eventual continuity in Banach algebras of di erentiable functions, Studia Mathe-
matica, 70 (1980), 113{121. MR 83c:46040.
19. (with W. G. Bade) Norms and ideals in radical convolution algebras, Journal of
Functional Analysis, 41 (1981), 77{109. MR 82k:46082.
20. (with J. P. McClure) Higher point derivations on commutative Banach algebras,
III, Proceedings of the Edinburgh Mathematical Society, 24 (1981), 31{40. MR
82j:46062.
21. Norming nil algebras, Proceedings of the American Mathematical Society, 83 (1981),
71{74. MR 82j:46062.
22. (with W. K. Hayman) Esterle's proof of the Tauberian theorem for Beurling alge-
bras, Annales de l'Institut Fourier (Grenoble), 31 (1981), 141{150. MR 83j:43007.
23. The continuity of traces. In Radical Banach algebras and automatic continuity, Lec-
ture Notes in Mathematics, 975, Springer{Verlag, (1982), 451{458. MR 84m:46065.
24. (with W. G. Bade and K. B. Laursen) Multipliers of radical Banach algebras of
power series, Memoirs of the American Mathematical Society, Volume 303 (1984),
1{84. MR 85j:46094.
25. Convolution algebras on the real line. In Radical Banach algebras and automatic
continuity, Lecture Notes in Mathematics, 975, Springer{Verlag, (1982), 180{209.
MR 84m:46052.
26. (with G. A. Willis) Co nite ideals in Banach algebras, and nite-dimensional rep-
resentations of group algebras. In Radical Banach algebras and automatic conti-
nuity, Lecture Notes in Mathematics, 975, Springer{Verlag, (1982), 397{421. MR
84h:46061.
27. (with E. Albrecht) Continuity of homomorphisms from C*-algebras and other Ba-
nach algebras. In Radical Banach algebras and automatic continuity, Lecture Notes
in Mathematics, 975, Springer{Verlag, (1982), 375{396. MR 84f:46063.
28. Automatic continuity of homomorphisms from C*-algebras. In Functional Analysis:
surveys and recent results III, (ed. K.-D. Bierstedt and B. Fuchssteiner), North
Holland, Amsterdam, 1984, 197{218.
29. Algebra and topology in Banach algebras, Contemporary Mathematics, American
Mathematical Society, 32 (1984), 97{106.
30. (with R. J. Loy) Prime ideals in algebras of continuous functions, Proceedings of the
American Mathematical Society, 98 (1986), 426{430. MR 87j:46098.
31. (with J. P. McClure) Nonstandard ideals in radical convolution algebras on a half
line, Canadian Journal of Mathematics, 39 (1987), 309{321. MR 88m:46067.
32. (W. G. Bade and P. C. Curtis, Jr.) Amenability and weak amenability for Beurling
and Lipschitz algebras, Proceedings of the London Mathematical Society (3), 55
(1987), 359{377. MR 88f:46098.
33. Local Banach algebras as Henselian rings, Studia Mathematica, 87 (1987), 85{97.
MR 89d:46051.
34. (with W. H. Woodin) An introduction to independence for analysts, London Math-
ematical Society Lecture Note Series 115, Cambridge University Press, 1987, xi +
241 pp. MR 90d:03101.
35. (with W. G. Bade) Discontinuous derivations from algebras of power series, Proceed-
ings of the London Mathematical Society (3), 59 (1989), 133{152. MR 90j:46048.
36. (with W. G. Bade) Continuity of derivations from radical convolution algebras,
Studia Mathematica, 95 (1989), 59{91. MR 90k:46115.
37. The real numbers, Inaugural Lecture, University of Leeds Review, 31 (1988/89),
43{59.
38. On norms of algebras, Proceedings of the Centre for Mathematical Analysis, Aus-
tralian National University, Canberra, 21 (1989), 61{96. MR 90k:46110.
39. (with W. G. Bade) The Wedderburn decomposability of some commutative Banach
algebras, Journal of Functional Analysis, 107 (1992), 105{21. MR 93d:46090.
40. (with R. J. Loy and G. A. Willis) Homomorphisms and derivations from B(E),
Journal of Functional Analysis, 120 (1994), 201{219. MR 95b:46068.
41. (with W. G. Bade) Uniqueness of complete norms for quotients of Banach function
algebras, Studia Mathematica, 106 (1993), 289{302.
42. Translator (with J. C. Dales) of Pour l'honneur de l'esprit humain, (J. Dieudonne),
published as Mathematics - the music of reason, Springer{Verlag, Berlin, 1992, x +
287 pp.
43. (with A. Millington) Translation-invariant linear operators, Mathematical Proceed-
ings of the Cambridge Philosophical Society, 113 (1993), 161{172. MR 93m:47036.
44. (with H. Jarchow) Continuity of homomorphisms and derivations from algebras of
approximable and nuclear operators, Mathematical Proceedings of the Cambridge
Philosophical Society, 116 (1994), 465-473. MR 95f:47055.
45. (with W. H. Woodin) Super-real elds : totally ordered elds with additional struc-
ture, London Mathematical Society Monographs, Volume 14, The Clarendon Press,
Oxford, 1996, xv + 357 pp. MR 98b:12005.
46. (with W. G. Bade and Z. A. Lykova) Algebraic and strong splittings of extensions
of Banach algebras, Memoirs of the American Mathematical Society, Volume 656
(1999), 1{113. MR 99g:46059.
47. (with R. J. Loy) Uniqueness of the norm topology for Banach algebras with nite-
dimensional radical, Proceedings of the London Mathematical Society (3), 74 (1997),
633{661. MR 98a:46056.
48. (with V. Runde) Discontinuous homomorphisms from non-commutative Banach al-
gebras, Bulletin of the London Mathematical Society, 29 (1997), 475{479. MR
98d:46047.
49. (with F. Ghahramani and N. Gronbaek) Derivations into higher duals of Banach
algebras, Studia Mathematica, 128 (1998), 19{54. MR 99g:46064.
50. Review of `Banach algebras and the general theory of *-algebras, Volume 1: Alge-
bras and Banach algebras', by T. W. Palmer (Cambridge University Press, 1994),
Bulletin of the London Mathematical Society, 28 (1996), 656{659.
51. A history of conferences on Banach algebras, Banach algebras '97, Proceedings of
the 13th International Conference on Banach algebras held in Blaubeuren, July 20{
August 3, 1997 (ed. E. Albrecht and M. Mathieu), 3{23, Walter de Gruyter, Berlin,
1998. MR 99g:46001.
52. (with J. Duncan) Second-order cohomology groups of some semigroup algebras,
Banach algebras '97, Proceedings of the 13th International Conference on Banach
algebras held in Blaubeuren, July 20{August 3, 1997 (ed. E. Albrecht and M. Math-
ieu), 205{222, Walter de Gruyter, Berlin, 1998. MR 99m:46168.
53. Questions on automatic continuity, Banach algebras '97, Proceedings of the 13th
International Conference on Banach algebras held in Blaubeuren, July 20{August
3, 1997 (ed. E. Albrecht and M. Mathieu), 509{525, Walter de Gruyter, Berlin,
1998. MR 99f:46069.
54. (with S. S. Pandey)Weak amenability of Segal algebras, Proceedings of the American
Mathematical Society, 128 (2000), 1419{1425. MR 2000j:46096.
55. (Editor, with G. Oliveri) Truth in Mathematics. Papers from the conference held in
Mussomeli, September 13{20, 1995, The Clarendon Press, Oxford, 1998, x+376 pp.
MR 2000j:03008.
56. (with G. Oliveri) Truth and the foundations of mathematics. In Truth in Math-
ematics, Mussomeli, 1995 (ed. H. G. Dales and G. Oliveri), 1{40, The Clarendon
Press, Oxford, 1998.
57. The mathematician as a formalist. In Truth in Mathematics, Mussomeli, 1995 (ed.
H. G. Dales and G. Oliveri), 181{200, The Clarendon Press, Oxford, 1998.
58. Review of `Banach algebras and the general theory of -algebras, Volume II: -
algebras', by T. W. Palmer (Cambridge University Press, 2001), Bulletin of the
London Mathematical Society, 28 (1996), 656{659.
59. (with A. R. Villena) Continuity of derivations, intertwining maps, and cocycles
from Banach algebras, Journal of the London Mathematical Society (2), 63 (2001),
215{225. MR 2002b:46068.
60. (with F. Ghahramani and A. Ya. Helemskii) The amenability of measure alge-
bras, Journal of the London Mathematical Society (2), 66 (2002), 213{226. MR
2003c:43001.
61. (with A. Rodrigues-Palacios and M. V. Velasco) The second transpose of a deriva-
tion, Journal of the London Mathematical Society (2), 64 (2001), 707{721. MR
2003e:46077.
62. Derivations from Banach algebras. In Recent progress in functional analysis, North
Holland Mathematics Studies, Volume 189, (2001). Proceedings of the International
Functional Analysis Meeting, Valencia, Spain, July 3{7, 2000 (ed. K.-D. Bierstedt,
J. Bonet, M. Maestre, J. Schmets), 75{94. MR 2002i:46042.
63. Banach algebras and automatic continuity, London Mathematical Society Mono-
graphs, Volume 24, The Clarendon Press, Oxford, xv+907 pp., 2000. MR 2002e:
46001.
64. Automatic continuity for Banach algebras, Encyclopedia of Mathematics, Supple-
ment III, Kluwer Academic Publishing, (2001), 48{49.
65. (with N. J. Laustsen and C. J. Read) A properly in nite Banach *-algebra with a
non-zero, bounded trace, Studia Mathematica, 155 (2003), 107{129. MR 2003m:
46084.
66. (with K. A. L. White), Derivations from Banach function algebras, Quarterly Jour-
nal of Mathematics, 55 (2004), 451{461. MR 2006d:47068.
67. (with A. T.-M. Lau) Second duals of Beurling algebras, Memoirs of the American
Mathematical Society, Volume 177 (2005), 1{191. MR 2006k:43002.
68. (with M. E. Polyakov) Homological properties of modules over group algebras,
Proceedings of the London Mathematical Society (3), 89 (2004), 390{426. MR
2005e:46085.
69. Banach algebras. In Introduction to Banach algebras, operators, and harmonic anal-
ysis, London Mathematical Society Student Texts, Volume 57, Cambridge Univer-
sity Press, 2003, 1{72.
70. Review of `Banach algebras and the general theory of -algebras, Volume II: -
Algebras', by T. W. Palmer, (Cambridge University Press, 2001), Proceedings of the
Edinburgh Mathematical Society (Series II), 47 (2004), 756{761.
71. (with J. F. Feinstein) Banach function algebras with dense invertible group, Pro-
ceedings of the American Mathematical Society, 136 (2008), 1295-1304.
72. (with A. T.-M. Lau and D. Strauss) Banach algebras on semigroups and on their
compacti cations, Memoirs American Mathematical Society, to appear.
73. (with R. J. Loy and Y. Zhang) Approximate amenability of Banach sequence alge-
bras, Studia Mathematica, 177 (2006), 81{96.
74. (with M. E. Polyakov) Multi-normed spaces, in preparation.
75. (with M. S. Moslehian) Stability of mappings on multi-normed spaces, Glasgow
Mathematical Journal, 49 (2007), 321{332.
76. (with H. Dedania) Weighted convolution algebras on subsemigroups of the real line,
Disertationes Mathematicae (Rozprawy Matematyczne) 459 (2009). 1{60.
77. (with J. F. Feinstein) Normed algebras of di erentiable functions on compact plane
sets, submitted.
78. (with A. T.-M. Lau and D. Strauss) Second duals of measure algebras, submitted.
79. (with S. R. Patel, and C. J. Read) Frechet algebras of power series, in preparation.
