On the weak amenability of ${\mathcal B}(X)$
Volume 196 / 2010
Studia Mathematica 196 (2010), 65-89
MSC: Primary 46B20, 47L10; Secondary 16E40.
DOI: 10.4064/sm196-1-5
Abstract
We investigate the weak amenability of the Banach algebra ${\cal B}(X)$ of all bounded linear operators on a Banach space $X$. Sufficient conditions are given for weak amenability of this and other Banach operator algebras with bounded one-sided approximate identities.