A characterization of bounded convex approximation properties

DOI10.1007/s00013-016-0952-9zbMath1367.46018OpenAlexW2526002618MaRDI QIDQ730014

Silja Veidenberg

Publication date: 23 December 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0952-9

zbMATH Keywords

Banach spacesBanach latticesunique extension propertyconvex approximation properties

Mathematics Subject Classification ID

Banach lattices (46B42) 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) Convex sets and cones of operators (47L07)

Related Items (1)

Principle of local reflexivity respecting nests of subspaces and the nest approximation properties

Cites Work

• The convex approximation property of Banach spaces
• Some approximation properties of Banach spaces and Banach lattices
• Approximation properties defined by spaces of operators and approximability in operator topologies
• Lifting bounded approximation properties from Banach spaces to their dual spaces
• Duality in spaces of operators and smooth norms on Banach spaces
• The Johnson-Schechtman space has the 6-bounded approximation property
• Lifting convex approximation properties from Banach spaces to their dual spaces and the related local reflexivity
• Some duality results on bounded approximation properties of pairs
• Extension properties for the space of compact operators.
• Separable lifting property and extensions of local reflexivity
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