Home > Research > Publications & Outputs > Approximate and pseudo-amenability of various c...
View graph of relations

Approximate and pseudo-amenability of various classes of Banach algebras

Research output: Contribution to journal › Journal article › peer-review

Published
Close
<mark>Journal publication date</mark>15/05/2009
<mark>Journal</mark>Journal of Functional Analysis
Issue number10
Volume256
Number of pages34
Pages (from-to)3158-3191
Publication StatusPublished
<mark>Original language</mark>English

Abstract

We continue the investigation of notions of approximate amenability that were introduced in work of the second and third authors together with R.J. Loy. It is shown that every boundedly approximately contractible Banach algebra has a bounded approximate identity, and that the Fourier algebra of the free group on two generators is not operator approximately amenable. Further examples are obtained of ℓ1-semigroup algebras which are approximately amenable but not amenable; using these, we show that bounded approximate contractibility need not imply sequential approximate amenability. Results are also given for Segal algebras on locally compact groups, and algebras of p-pseudo-functions on discrete groups.