This volume contains papers and problems presented to the Conference on Automatic Continuity and Banach Algebras, held at the Australian National University, January 2 - 20, 1989. The timing and duration of this conference was designed to fit into the January break of many northern hemisphere universities, yet to have a workshop environment to enhance interaction between participants.
The articles are essentially expanded versions of the talks given at the conference, with the exception of several papers which are appearing elsewhere. By deliberate policy the papers herein contain historical background, syntheses and expository accounts, as well as the development of new ideas and results. Following the papers is a list of unsolved problems presented here at Canberra. This volume concludes with a progress report on the problem list of the Long Beach conference on Radical Banach Algebras and Automatic Continuity, 1981.
Author(s): Richard J Loy
Series: Proceedings of the Centre for Mathematical Analysis, Australian National University 21
Edition: 1
Publisher: Centre for Mathematical Analysis, Australian National University
Year: 1989
Language: English
Commentary: Made from the PDFs at: http://maths.anu.edu.au/research/symposia-proceedings/conference-automatic-continuity-and-banach
Pages: 366
City: Canberra
1 - Power-bounded elements in a Banach algebra and a theorem of Gelfand - G.R. Allan......Page 1
2 - Locally inner derivations - G.R. Allan......Page 13
3 - The Wedderburn decomposition for quotient algebras arising from sets of non-synthesis - William G. Bade......Page 25
4 - The Raikov convolution measure algebra - Gavin Brown and William Moran......Page 32
5 - Banach algebra techniques and extensions of operator-valued representations - B. Chevreau and J. Galé......Page 45
6 - Complementation problems concerning the radical of a commutative amenable Banach algebra - P.C. Curtis Jr.......Page 56
7 - On norms on algebras - H.G. Dales......Page 61
8 - Weak (F)-amenability of R(X) - J.F. Feinstein......Page 97
9 - Banach algebras generated by analytic semigroups having compactness properties on vertical lines - José E. Galé......Page 126
10 - Automorphisms of weighted measure algebras - F. Ghahramani......Page 144
11 - Semigroups and the structure of weighted convolution algebras - Sandy Grabiner......Page 155
12 - Using Banach algebras to do analysis with the umbral calculus - Sandy Grabiner......Page 170
13 - Constructions preserving weak amenability - Niels Grønbæk......Page 186
14 - Some remarks about ideas and results in topological homology - A.Ya. Helemskii......Page 203
15 - Banach algebras occurring in spectral theory - Igor Kluvánek......Page 239
16 - Intertwining with isometries - K.B. Laursen......Page 254
17 - Some problems concerning reflexive operator algebras - W.E. Longstaff......Page 260
18 - Remarks on semisimple reflexive algebras - W.E. Longstaff......Page 273
19 - Subalgebras of amenable algebras - Richard J. Loy......Page 288
20 - Rings of quotients of ultraprime Banach algebras, with applications to elementary operators - Martin Mathieu......Page 297
21 - Derivations of convolution algebras - J.P. McClure......Page 318
22 - Function theory on Banach algebras - R. Parvatham......Page 328
23 - Factorization in group algebras - G.A. Willis......Page 334
24 - Ultraprime group algebras - G.A. Willis......Page 345
25 - The norms of powers of functions in the Volterra algebra, II - G.A. Willis......Page 350
26 - Open Problems -......Page 352
27 - Progress report on Long Beach -......Page 363
