Approximate amenability for Banach sequence algebras
Volume 177 / 2006
Studia Mathematica 177 (2006), 81-96
MSC: Primary 46H20; Secondary 43A20.
DOI: 10.4064/sm177-1-6
Abstract
We consider when certain Banach sequence algebras $A$ on the set ${\mathbb N}$ are approximately amenable. Some general results are obtained, and we resolve the special cases where $A = \ell^{\,p}$ for $1\leq p < \infty$, showing that these algebras are not approximately amenable. The same result holds for the weighted algebras $\ell^{\,p}(\omega)$.
