Amenability of algebras of approximable operators
Functional Analysis
2008-04-11 v1
Abstract
We give a necessary and sufficient condition for amenability of the Banach algebra of approximable operators on a Banach space. We further investigate the relationship between amenability of this algebra and factorization of operators, strengthening known results and developing new techniques to determine whether or not a given Banach space carries an amenable algebra of approximable operators. Using these techniques, we are able to show, among other things, the non-amenability of the algebra of approximable operators on Tsirelson's space.
Keywords
Cite
@article{arxiv.0804.1725,
title = {Amenability of algebras of approximable operators},
author = {Ariel Blanco and Niels Groenbaek},
journal= {arXiv preprint arXiv:0804.1725},
year = {2008}
}
Comments
20 pages, to appear in Israel Journal of Mathematics