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Multiplicative functionals and a class of topological algebras

Published online by Cambridge University Press:  17 April 2009

Gerard A. Joseph
Gerard A. Joseph
Affiliation:
Department of Mathematics, University of Washington, Seattle, Washington, USA.
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Abstract

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Every multiplicative linear functional on a pseudocomplete locally convex algebra satisfying the “sequential” property of Husain and Ng is bounded (a topological algebra is called “sequential” if every null sequence contains an element whose powers converge to zero). Characterizations of such algebras are given, with some examples.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 17 , Issue 3 , December 1977 , pp. 391 - 399
Copyright
Copyright © Australian Mathematical Society 1977

References

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