We investigate the weak amenability of the Banach algebra 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm196-1-5, author = {A. Blanco}, title = {On the weak amenability of B(X)}, journal = {Studia Mathematica}, volume = {196}, year = {2010}, pages = {65-89}, zbl = {1204.46030}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm196-1-5} }
A. Blanco. On the weak amenability of ℬ(X). Studia Mathematica, Tome 196 (2010) pp. 65-89. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm196-1-5/