Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A BICOMMUTANT THEOREM FOR DUAL BANACH ALGEBRAS

A BICOMMUTANT THEOREM FOR DUAL BANACH ALGEBRAS A dual Banach algebra is a Banach algebra that is a dual space, with the multiplication being separately weak * -continuous. We show that given a unital dual Banach algebra A , we can find a reflexive Banach space E , and an isometric, weak * -weak * -continuous homomorphism π : A → B ( E ) such that π( A ) equals its own bicommutant. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematical Proceedings of the Royal Irish Academy Royal Irish Academy

A BICOMMUTANT THEOREM FOR DUAL BANACH ALGEBRAS

Loading next page...
 
/lp/royal-irish-academy/a-bicommutant-theorem-for-dual-banach-algebras-8szRSrQVMb

References

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
Royal Irish Academy
Copyright
Copyright © 2011 RIA
ISSN
1393-7197
eISSN
2009-0021
DOI
10.3318/PRIA.2011.111.1.3
Publisher site
See Article on Publisher Site

Abstract

A dual Banach algebra is a Banach algebra that is a dual space, with the multiplication being separately weak * -continuous. We show that given a unital dual Banach algebra A , we can find a reflexive Banach space E , and an isometric, weak * -weak * -continuous homomorphism π : A → B ( E ) such that π( A ) equals its own bicommutant.

Journal

Mathematical Proceedings of the Royal Irish AcademyRoyal Irish Academy

Published: Jan 1, 2011

References