Weak amenability of triangular Banach algebras

DOI10.1090/S0002-9947-01-02957-9zbMath1014.46017OpenAlexW1942003202MaRDI QIDQ2781368

Laurent W. Marcoux, Brian E. Forrest

Publication date: 19 March 2002

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-01-02957-9

zbMATH Keywords

nest algebrasweak amenabilityArens regularity\(n\)-weak amenabilitytriangular Banach algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Nest algebras, CSL algebras (47L35)

Related Items

Arens regularity of module actions and weak amenability of Banach algebras, Biprojectivity of generalized module extension and second dual of Banach algebras, Unnamed Item, Homological properties of some types of generalized matrix Banach algebras, Bi-derivations and quasi-multipliers on module extensions Banach algebras, The first cohomology group of module extension Banach algebras, Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, The first module (σ,τ)-cohomology group of triangular Banach algebras of order three, Weak amenability and 2-weak amenability of Beurling algebras, Approximate biflatness and approximate biprojectivity of some Banach algebras, The second cohomology group of module extensions Banach algebras, On amalgamated {B}anach algebras, Generalized notions of amenability for a class of matrix algebras, Unnamed Item, Generalized module extension Banach algebras: Derivations and weak amenability, Unnamed Item, The first cohomology group and weak amenability of a Morita context Banach algebra, AMENABILITY PROPERTIES OF T σA,σB, \((2n - 1)\)-ideal amenability of triangular Banach algebras, Weak amenability of module extensions of Banach algebras

Cites Work

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• Derivations of nest algebras
• Derivations of operator algebras
• Derivations of \(W^ *\)-algebras
• The second conjugate space of a Banach algebra as an algebra
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• Algebraic and strong splittings of extensions of Banach algebras
• Cohomology for Operator Algebras: Joins
• Derivations of triangular Banach algebras
• Cohomology in Banach algebras