On bounded approximation properties of Banach spaces

DOI10.4064/bc91-0-13zbMath1211.46015OpenAlexW2327040636MaRDI QIDQ3068738

Eh. F. Oya

Publication date: 17 January 2011

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/bc91-0-13

zbMATH Keywords

bounded approximation propertyweak bounded approximation propertyBanach operator ideal

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of operators; tensor products; approximation properties (46B28) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Isometric theory of Banach spaces (46B04) Operator ideals (47L20)

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On a separable weak version of the bounded approximation property ⋮ Absolutely summing operators on \(C[0,1\) as a tree space and the bounded approximation property] ⋮ A history of solving some famous problems in mathematical analysis ⋮ The Banach ideal of \(\mathcal A\)-compact operators and related approximation properties ⋮ The asymptotically commuting bounded approximation property of Banach spaces ⋮ Principle of local reflexivity respecting subspaces ⋮ Lipschitz approximable Banach spaces ⋮ Impact of the Radon-Nikodým property on convex approximation properties ⋮ The convex approximation property of Banach spaces ⋮ Ideal topologies and corresponding approximation properties ⋮ Weaker relatives of the bounded approximation property for a Banach operator ideal

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