Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615443 | Journal of Mathematical Analysis and Applications | 2015 | 14 Pages |
Abstract
We obtain a new criterion sufficient for approximate amenability of Banach algebras, and an associated criterion sufficient for approximate amenability of c0c0-direct sums of approximately amenable Banach algebras. We use these criteria to give examples of Banach algebras which are approximately amenable, but not boundedly approximately amenable. Thus we answer a question which was open since the year 2004. This is, so to speak, the complementary result to one of our earlier ones in the paper [F. Ghahramani, C.J. Read, Approximate identities in approximate amenability, J. Funct. Anal. 262 (9) (2012) 3929–3945], where we gave examples of boundedly approximately amenable Banach algebras that are not boundedly approximately contractible.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
F. Ghahramani, C.J. Read,