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Banach algebras of topologically bounded index

Published online by Cambridge University Press:  17 April 2009

J.J. Green
J.J. Green
Affiliation:
Department of Pure MathematicsThe University of SheffieldSheffieldUnited Kingdom
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Abstract

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We consider normed and Banach algebras satisfying a condition topologically analogous to bounded index for rings. We investigate stability properties, prove a topological version of a theorem of Jacobson, and find in many cases co-incidence with well-known finiteness properties.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 56 , Issue 1 , August 1997 , pp. 51 - 62
Copyright
Copyright © Australian Mathematical Society 1997

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