Conference on Automatic Continuity and Banach
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Status: Out of stock
Volume: 21
Venue: Australian National University

Preface

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.

The participants would like to thank the Centre for Mathematical Analysis for hosting the conference and providing most of the financial support, the Australian Mathematical Society who supported the conference with a Special Interest Meeting grant, and the Mathematical Sciences Research Centre of the Faculty of Science, Australian National University, who funded the visit of N. Grønbæk. On a personal level, appreciation is expressed to Marilyn Gray, Joyce Heinz, Dorothy Nash and Jill Smith, who dealt with all the day to day queries and worries with total aplomb, as well as handling the typing of the papers for these proceedings.

I, myself, would like to thank all participants for making the conference such a success. Special thanks are due to Kjeld Laursen for organizing the conference problem sessions and collating the resulting material for inclusion here, and Niels Grønbæk and George Willis for their assistance in the editing of this volume.

 

Content

Chapter Page
1 Power-bounded elements in a Banach algebra and a theorem of Gelfand
G.R. Allan		 1
2 Locally inner derivations
G.R. Allan		 13
3 The Wedderburn decomposition for quotient algebras arising from sets of non-synthesis
William G. Bade		 25
4 The Raikov convolution measure algebra
Gavin Brown and William Moran		 32
5 Banach algebra techniques and extensions of operator-valued representations
B. Chevreau and J. Galé		 45
6 Complementation problems concerning the radical of a commutative amenable Banach algebra
P.C. Curtis Jr.		 56
7 On norms on algebras
H.G. Dales		 61
8 Weak (F)-amenability of R(X)
J.F. Feinstein		 97
9 Banach algebras generated by analytic semigroups having compactness properties on vertical lines
José E. Galé		 126
10 Automorphisms of weighted measure algebras
F. Ghahramani		 144
11 Semigroups and the structure of weighted convolution algebras
Sandy Grabiner		 155
12 Using Banach algebras to do analysis with the umbral calculus
Sandy Grabiner		 170
13 Constructions preserving weak amenability
Niels Grønbæk		 186
14 Some remarks about ideas and results in topological homology
A.Ya. Helemskii		 203
15 Banach algebras occurring in spectral theory
Igor Kluvánek		 239
16 Intertwining with isometries
K.B. Laursen		 254
17 Some problems concerning reflexive operator algebras
W.E. Longstaff		 260
18 Remarks on semisimple reflexive algebras
W.E. Longstaff		 273
19 Subalgebras of amenable algebras
Richard J. Loy		 288
20 Rings of quotients of ultraprime Banach algebras, with applications to elementary operators
Martin Mathieu		 297
21 Derivations of convolution algebras
J.P. McClure		 318
22 Function theory on Banach algebras
R. Parvatham		 328
23 Factorization in group algebras
G.A. Willis		 334
24 Ultraprime group algebras
G.A. Willis		 345
25 The norms of powers of functions in the Volterra algebra, II
G.A. Willis		 350
26 Open Problems 352
27 Progress report on Long Beach 363

Copyright statement

First published in Australia 1989

© Centre for Mathematics and Its Applications
Mathematical Sciences Institute
The Australian National University
CANBERRA ACT 0200
AUSTRALIA

This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

Edited by

Richard J Loy

Conference on Automatic Continuity and Banach

ISBN 0 7315 0431 3