Quotient bounded elements in locally convex algebras-Reference-Cited by-同舟云学术

Quotient bounded elements in locally convex algebras

Published:1982-08 Issue:1 Volume:33 Page:102-113
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Bhatt Subhash J.

Abstract

AbstractThe quotient bounded and the universally bounded elements in a calibrated locally convex algebra are defined and studied. In the case of a generalized B*-algebra A, they are shown to form respectively b* and B*-algebras, both dense in A. An internal spatial characterization of generalized B*-algebras is obtained. The concepts are illustrated with the help of examples of algebras of measurable functions and of continuous linear operators on a locally convex space.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference14 articles.

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Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Quotient-bounded elements in locally convex algebras. II;Proceedings of the Indian Academy of Sciences - Section A;1985-12

2. An irreducible representation of a symmetric star algebra is bounded;Transactions of the American Mathematical Society;1985