Notes on amenability
Functional Analysis
2010-12-08 v1
Abstract
We show that for a Banach algebra with a bounded approximate identity, the amenability of the projective tensor product of A with A, the amenability of the projective tensor product of A with A^{op}and the amenability of A are equivalent. Also if A is a closed ideal in a commutative Banach algebra B, then the weak amenability of the projective tensor product of A and B implies the weak amenability of A.
Cite
@article{arxiv.1012.1389,
title = {Notes on amenability},
author = {Miad Makareh Shireh},
journal= {arXiv preprint arXiv:1012.1389},
year = {2010}
}
Comments
11 pages