Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


A note on invariance of spectrum
for symmetric banach $^*$-algebras

Author: Bruce A. Barnes
Journal: Proc. Amer. Math. Soc. 126 (1998), 3545-3547
MSC (1991): Primary 46K99, 46L05
MathSciNet review: 1473655
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $A$ be a symmetric Banach $^*$-algebra, let $B$ be a Banach algebra, and assume that $A\subseteq B$. A result is proved giving conditions which imply that every element of $A$ has the same spectrum in both $A$ and $B$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46K99, 46L05

Retrieve articles in all journals with MSC (1991): 46K99, 46L05

Additional Information

Bruce A. Barnes
Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403

PII: S 0002-9939(98)04620-6
Keywords: Symmetric Banach $^*$-algebra, invariance of spectrum, $C^*$-algebra.
Received by editor(s): April 11, 1997
Communicated by: David R. Larson
Article copyright: © Copyright 1998 American Mathematical Society