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

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