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)

 
 

 

$ L\sp{1}(G)$ as an ideal in its second dual space


Author: Michael Grosser
Journal: Proc. Amer. Math. Soc. 73 (1979), 363-364
MSC: Primary 43A20; Secondary 46H25
DOI: https://doi.org/10.1090/S0002-9939-1979-0518521-9
MathSciNet review: 518521
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Based on general results on Banach modules a short proof of the following criterion due to S. Watanabe [5] is given: A group algebra $ {L^1}(G)$ is a two-sided ideal in its second dual space (equipped with one of the Arens products) if and only if G is compact.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 43A20, 46H25

Retrieve articles in all journals with MSC: 43A20, 46H25


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1979-0518521-9
Keywords: Group algebra, Arens products, Banach module
Article copyright: © Copyright 1979 American Mathematical Society

American Mathematical Society