Conference on Automatic Continuity and Banach

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.

 

Contents

Chapter Page no
1 - Power-bounded elements in a Banach algebra and a theorem of Gelfand (PDF, 944KB)
G.R. Allan
1
2 - Locally inner derivations (PDF, 1126KB)
G.R. Allan
13
3 - The Wedderburn decomposition for quotient algebras arising from sets of non-synthesis (PDF, 619KB)
William G. Bade
25
4 - The Raikov convolution measure algebra (PDF, 902KB)
Gavin Brown and William Moran
32
5 - Banach algebra techniques and extensions of operator-valued representations (PDF, 941KB)
B. Chevreau and J. Galé
45
6 - Complementation problems concerning the radical of a commutative amenable Banach algebra (PDF, 406KB)
P.C. Curtis Jr.
56
7 - On norms on algebras (PDF, 2560KB)
H.G. Dales
61
8 - Weak (F)-amenability of R(X) (PDF, 3072KB)
J.F. Feinstein
97
9 - Banach algebras generated by analytic semigroups having compactness properties on vertical lines (PDF, 1638KB)
José E. Galé
126
10 - Automorphisms of weighted measure algebras (PDF, 902KB)
F. Ghahramani
144
11 - Semigroups and the structure of weighted convolution algebras (PDF, 1536KB)
Sandy Grabiner
155
12 - Using Banach algebras to do analysis with the umbral calculus (PDF, 1741KB)
Sandy Grabiner
170
13 - Constructions preserving weak amenability (PDF, 1229KB)
Niels Grønbæk
186
14 - Some remarks about ideas and results in topological homology (PDF, 3584KB)
A.Ya. Helemskii
203
15 - Banach algebras occurring in spectral theory (PDF, 1229KB)
Igor Kluvánek
239
16 - Intertwining with isometries (PDF, 443KB)
K.B. Laursen
254
17 - Some problems concerning reflexive operator algebras (PDF, 1229KB)
W.E. Longstaff
260
18 - Remarks on semisimple reflexive algebras (PDF, 1331KB)
W.E. Longstaff
273
19 - Subalgebras of amenable algebras (PDF, 1024KB)
Richard J. Loy
288
20 - Rings of quotients of ultraprime Banach algebras, with applications to elementary operators (PDF, 1946KB)
Martin Mathieu
297
21 - Derivations of convolution algebras (PDF, 914KB)
J.P. McClure
318
22 - Function theory on Banach algebras (PDF, 440KB)
R. Parvatham
328
23 - Factorization in group algebras (PDF, 1024KB)
G.A. Willis
334
24 - Ultraprime group algebras (PDF, 425KB)
G.A. Willis
345
25 - The norms of powers of functions in the Volterra algebra, II (PDF, 129KB)
G.A. Willis
350
26 - Open Problems (PDF, 1126KB)
352
27 - Progress report on Long Beach (PDF, 530KB)
363

Printed copy

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Volume

Volume 21

Date

2 Jan 1989 to 20 Jan 1989

Venue

Australian National University

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