IJPAM: Volume 100, No. 3 (2015)

A CHARACTERIZATION OF
PRIMITIVE ALGEBRAS VIA $B^{\ast}-$ SEMINORMS

A.K. Gaur
Department of Mathematics
Duquesne University
Pittsburgh, PA 15282, USA


Abstract. Primitive algebras are characterized in terms of sub-seminorms. We prove a necessary and a sufficient condition for a $B^{\ast}-$ seminorm to be minimal. The results of this note are also valid for $M^{\ast}-$ seminorms introduced by Bhatt and others in [#!BFI06!#].

Received: November 18, 2014

AMS Subject Classification: 46H05, 47A10, 46H15

Key Words and Phrases: $B^{\ast}-$ seminorms, minimal seminorms, primitive algebras

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DOI: 10.12732/ijpam.v100i3.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 100
Issue: 3
Pages: 379 - 383


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