Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


Locally $ B\sp{\ast} $-equivalent algebras

Author: Bruce A. Barnes
Journal: Trans. Amer. Math. Soc. 167 (1972), 435-442
MSC: Primary 46K05
MathSciNet review: 0296704
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let A be a Banach $ ^ \ast $-algebra. A is locally $ {B^ \ast }$-equivalent if, for every selfadjoint element $ t \in A$, the closed $ ^ \ast $-subalgebra of A generated by t is $ ^\ast$-isomorphic to a $ {B^ \ast }$-algebra. In this paper it is shown that when A is locally $ {B^\ast}$-equivalent, and in addition every selfadjoint element in A has at most countable spectrum, then A is $ ^ \ast $-isomorphic to a $ {B^ \ast }$-algebra.

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

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 46K05

Retrieve articles in all journals with MSC: 46K05

Additional Information

PII: S 0002-9947(1972)0296704-1
Article copyright: © Copyright 1972 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia