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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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John Pym, Arens regularity, and some developments
by
H. G. Dales
Leeds, England

Let A be a Banach algebra. Then the second dual space A'' is a Banach algebra for two Arens products. The algebra A is Arens regular if the two products coincide on A''. More generally let us introduce two topological centres of A': A is Arens regular if both these centres are equal to A'', and, at the other extreme, strongly Arens irregular if both are equal to A itself, regarded as a subset of A'.

Date received: May 26, 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-17.