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Isomorphisms and multipliers on second dual algebras of Banach algebras

Published online by Cambridge University Press:  24 October 2008

Fereidoun Ghahramani  and
Anthony To-Ming Lau
Fereidoun Ghahramani
Affiliation:
Department of Mathematics and Astronomy, University of Manitoba, Winnipeg, Manitoba, Canada R3T 2N2
Anthony To-Ming Lau
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2GI
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Extract

Suppose that A is a Banach algebra and let A be the second dual algebra of A equipped with the first Arens product 3. In this paper we characterize compact and weakly compact multipliers of A, when A possesses a bounded approximate identity and is a two sided ideal in A. We use this to study the isomorphisms between second duals of various classes of Banach algebras satisfying the above properties.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 1 , January 1992 , pp. 161 - 168
Copyright
Copyright © Cambridge Philosophical Society 1992

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