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

Learn More →

Amenability of representations and invariant Hahn–Banach theorems

Amenability of representations and invariant Hahn–Banach theorems Invariant Hahn–Banach theorems are proved in the context of right amenable, weakly almost periodic representations of semigroups on locally convex spaces. Applications are made to invariant means, invariant measures, and to Banach limits on weakly almost periodic flows. Additionally, invariant linear Hahn–Banach extension operators are shown to exist on suitable invariant subspaces of Banach spaces. The key construct on which these results depend is the lifting of a representation on a semigroup S to its coefficient compactification, the minimal compactification of S for which the lift is injective. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

Amenability of representations and invariant Hahn–Banach theorems

The Journal of Analysis , Volume 28 (4) – Jan 20, 2020

Loading next page...
 
/lp/springer-journals/amenability-of-representations-and-invariant-hahn-banach-theorems-MbrtYU7yzQ

References (20)

Publisher
Springer Journals
Copyright
Copyright © Forum D'Analystes, Chennai 2020
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-020-00223-3
Publisher site
See Article on Publisher Site

Abstract

Invariant Hahn–Banach theorems are proved in the context of right amenable, weakly almost periodic representations of semigroups on locally convex spaces. Applications are made to invariant means, invariant measures, and to Banach limits on weakly almost periodic flows. Additionally, invariant linear Hahn–Banach extension operators are shown to exist on suitable invariant subspaces of Banach spaces. The key construct on which these results depend is the lifting of a representation on a semigroup S to its coefficient compactification, the minimal compactification of S for which the lift is injective.

Journal

The Journal of AnalysisSpringer Journals

Published: Jan 20, 2020

There are no references for this article.