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Groups and semigroups in analysis: a conference in honour of J.S. Pym on the occasion of his retirement
May 30 - June 1, 2003
University of Sheffield
Sheffield, UK

Organizers
A. Lau, University of Alberta; P. Milnes, University of Western Ontario; R. Sharp, University of Sheffield; D. Strauss, University of Hull

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The group of invertibles of a Frechet algebra
by
Graham R. Allan
University of Cambridge

There will be a brief introduction to some ideas on `stable inverse-limit sequences' (G. R. Allan, Stable inverse-limit sequences, with application to Fréchet algebras , Studia Math. 121(3) (1996), 277-308). These ideas will be applied to study the group of invertible elements in a Fréchet algebra.

In particular, for a commutative Fréchet algebra, there are two versions of an Arens-Royden theorem. One of these is a very old result of A. M. Davie (Homotopy in Fréchet algebras , Proc. London Math. Soc. (3)23 (1971), 31-52); the other version may be new.

Date received: April 24, 2003

Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # cakn-08.