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Module Homomorphisms of the Dual Modules of Convolution Banach Algebras

Published online by Cambridge University Press:  20 November 2018

F. Ghahramani  and
J. P. Mcclure
F. Ghahramani
Affiliation:
Department of Mathematics and Astronomy University of Manitoba Winnipeg, Manitoba R3T 2N2
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Abstract

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Suppose that A is either the group algebra L1 (G) of a locally compact group G, or the Volterra algebra or a weighted convolution algebra with a regulated weight. We characterize: a) Module homomorphisms of A*, when A* is regarded an A** left Banach module with the Arens product, b) all the weak*-weak* continuous left multipliers of A**.

Keywords

43A2246H25.
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 2 , 01 June 1992 , pp. 180 - 185
Copyright
Copyright © Canadian Mathematical Society 1992 

Footnotes

The research of the authors was supported by NSERC grants OGP003664 and A8069, respectively.

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