Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A characterization of dual $ B^{\ast} $-algebras


Author: Edith A. McCharen
Journal: Proc. Amer. Math. Soc. 37 (1973), 84
MSC: Primary 46K05
DOI: https://doi.org/10.1090/S0002-9939-1973-0306927-7
MathSciNet review: 0306927
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let A be a $ {B^\ast}$-algebra. The second conjugate space of A, denoted by $ {A^{ \ast \ast }}$, is a $ {B^\ast}$-algebra under the Arens multiplication. A new proof is given that A is a dual algebra if and only if the natural image of A in $ {A^{ \ast \ast }}$ is an ideal in $ {A^{\ast \ast}}$.


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


Similar Articles

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

Retrieve articles in all journals with MSC: 46K05


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1973-0306927-7
Article copyright: © Copyright 1973 American Mathematical Society