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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.
A. Blanco. "On the weak amenability of ℬ(X)." Studia Mathematica 196.1 (2010): 65-89. <http://eudml.org/doc/285224>.
@article{A2010, abstract = {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.}, author = {A. Blanco}, journal = {Studia Mathematica}, keywords = {weakly amenable Banach algebra; Banach algebras of operators}, language = {eng}, number = {1}, pages = {65-89}, title = {On the weak amenability of ℬ(X)}, url = {http://eudml.org/doc/285224}, volume = {196}, year = {2010}, }
TY - JOUR AU - A. Blanco TI - On the weak amenability of ℬ(X) JO - Studia Mathematica PY - 2010 VL - 196 IS - 1 SP - 65 EP - 89 AB - 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. LA - eng KW - weakly amenable Banach algebra; Banach algebras of operators UR - http://eudml.org/doc/285224 ER -