Homological characterizations of the approximation property for Banach spaces

DOI10.1017/S0017089500008776zbMath0810.46019MaRDI QIDQ4019702

Yurií V. Selivanov

Publication date: 16 January 1993

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

approximation propertybiflatnessbiprojectivityBanach algebra of all nuclear operatorshomological finite-dimensionalitythree- dimensional cohomology group

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Projective and injective objects in functional analysis (46M10) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (5)

Morita equivalence for Banach algebras ⋮ Cohomology of biflat Banach algebras with coefficients in dual bimodules ⋮ Self-induced compactness in Banach spaces ⋮ Unnamed Item ⋮ On the simplicial cohomology of Banach operator algebras

Cites Work

• A counterexample to the approximation problem in Banach spaces
• Perturbations of Banach Algebras

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