An irreducible representation of a symmetric star algebra is bounded

Author:

Bhatt Subhash J.

Abstract

A {\ast } -algebra A A is called symmetric if ( 1 + x x ) (1 + {x^{\ast }}x) is invertible in A A for each x x in A A . An irreducible hermitian representation of a symmetric {\ast } -algebra A A maps A A onto an algebra of bounded operators.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference15 articles.

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5. Quotient bounded elements in locally convex algebras;Bhatt, Subhash J.;J. Austral. Math. Soc. Ser. A,1982

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1. Bibliography;Topological Algebras with Involution;2005

2. Topological *-algebras withC*-enveloping algebras II;Proceedings Mathematical Sciences;2001-02

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