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Weakness of the Topology of a JB*-Algebra

Published online by Cambridge University Press:  20 November 2018

Ali Bensebah
Ali Bensebah*
Affiliation:
Department of Mathematics and Statistics University of Montreal, CP. 6128 Succ. A Montreal, Quebec, Canada, H3C 3J7
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Abstract

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The main purpose of this paper is to prove, that the topology of any (non-complete) algebra norm on a JB* -algebra is stronger than the topology of the usual norm. The proof of this theorem consists of an adaptation of the recent Rodriguez proof [8] that every homomorphism from a complex normed (associative) Q-algebra onto a B*-algebra is continuous.

Keywords

46H70
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 4 , 01 December 1992 , pp. 449 - 454
Copyright
Copyright © Canadian Mathematical Society 1992

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