On the weak amenability of \(\mathcal A(X)\) and its relation with the approximation property.

DOI10.1016/S0022-1236(02)00050-2zbMath1048.46023MaRDI QIDQ1410552

D. Massart

Publication date: 14 October 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Banach algebraapproximation propertyweak amenabilityapproximable operator

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items

Homological properties of the algebra of compact operators on a Banach space, Zero Lie product determined Banach algebras. II., Various notions of amenability in Banach algebras, Approximate amenability of \(K(X)\), Bounded Hochschild cohomology of Banach algebras with a matrix-like structure

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• All nuclear C*-algebras are amenable
• Counterexamples to a conjecture of Grothendieck
• Holomorphic semi-groups and the geometry of Banach spaces
• Tensor products of Fréchet or (DF)-spaces with a Banach space
• Remarks on Figiel's reflexive Banach spaces not isomorphic to their square
• On the cohomology of operator algebras
• Amenability of Banach algebras of compact operators
• Morita equivalence for Banach algebras
• Factoring compact operators
• A complementably universal conjugate Banach space and its relation to the approximation problem
• Amenability and Weak Amenability for Beurling and Lipschitz Algebras
• Un théorème sur les opérateurs linéaires entre espaces de Banach qui se factorisent par un espace de Hilbert
• Weak Amenability of Group Algebras
• Finite dimensional subspaces of $L_{p}$
• An example of infinite dimensional reflexive Banach space non-isomorphic to its Cartesian square
• Cohomology in Banach algebras