Weak amenability of module extensions of Banach algebras

DOI10.1090/S0002-9947-02-03039-8zbMath1008.46019MaRDI QIDQ3151224

Yong Zhang

Publication date: 7 October 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

operator algebradual modulemodulederivation\(n\)-weakly amenable

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Structure, classification of topological algebras (46H20) Topological algebras of operators (46H35) Ideals and subalgebras (46H10)

Related Items (33)

Amalgamated duplication of Banach algebras from homological point of view ⋮ Arens regularity of module actions and weak amenability of Banach algebras ⋮ ONn-IDEAL AMENABILITY OF CERTAIN BANACH ALGEBRAS ⋮ On Connes amenable-like properties of dual Banach algebras based on \(w^*\)-character space ⋮ Biprojectivity and biflatness of bi-amalgamated Banach algebras ⋮ Lie derivations on trivial extension algebras ⋮ Automatic continuity of derivations on semidirect products of Banach algebras ⋮ Derivations and the first cohomology group of trivial extension algebras ⋮ Amalgamated duplication of the Banach algebra 𝔄 along a 𝔄-bimodule 𝒜 ⋮ Bi-derivations and quasi-multipliers on module extensions Banach algebras ⋮ Various notions of amenability in Banach algebras ⋮ The first cohomology group of module extension Banach algebras ⋮ Unnamed Item ⋮ Weak amenability and 2-weak amenability of Beurling algebras ⋮ Commuting mappings on the Hochschild extension of an algebra ⋮ Biprojectivity and biflatness of amalgamated duplication of Banach algebras ⋮ The second cohomology group of module extensions Banach algebras ⋮ Unnamed Item ⋮ On amalgamated {B}anach algebras ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On \(n\)-weak amenability of Rees semigroup algebras ⋮ ГИПЕРТАУБЕРОВЫ АЛГЕБРЫ, ОПРЕДЕЛЕННЫЕ ГОМОМОРФИЗМОМ БАНАХОВОЙ АЛГЕБРЫ ⋮ Derivations on the module extension Banach algebras ⋮ Unnamed Item ⋮ Generalized module extension Banach algebras: Derivations and weak amenability ⋮ Unnamed Item ⋮ Some notes for topological centers on the duals of Banach algebras ⋮ Unnamed Item ⋮ Lie generalized derivations on trivial extension algebras ⋮ The first cohomology group and weak amenability of a Morita context Banach algebra ⋮ Weak approximation properties of subspaces ⋮ THE BOCHNER–SCHOENBERG-EBERLEIN PROPERTY OF EXTENSIONS OF BANACH ALGEBRAS AND BANACH MODULES

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