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

DOI10.1016/J.JFA.2017.06.004zbMath1380.46010OpenAlexW2626889654MaRDI QIDQ2404085

Silja Veidenberg, Eh. F. Oya

Publication date: 12 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2017.06.004

zbMATH Keywords

Banach spacesconvex approximation propertiesnest approximation propertiesprinciple of local reflexivity respecting nests of subspaces

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) 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) Nest algebras, CSL algebras (47L35) Chains (nests) of projections or of invariant subspaces, integrals along chains, etc. (47A46)

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• The Lidskii trace property and the nest approximation property in Banach spaces
• The convex approximation property of Banach spaces
• Some approximation properties of Banach spaces and Banach lattices
• A characterization of bounded convex approximation properties
• Lifting bounded approximation properties from Banach spaces to their dual spaces
• Duality in spaces of operators and smooth norms on Banach spaces
• Principle of local reflexivity respecting subspaces
• Lifting convex approximation properties from Banach spaces to their dual spaces and the related local reflexivity
• The dual form of the approximation property for a Banach space and a subspace
• Some duality results on bounded approximation properties of pairs
• Principle of local reflexivity revisited
• Generalizations of Certain Nest Algebra Results
• On Some Algebras of Operators
• Operators of Finite Rank in Nest Algebras
• On the Existence of Strongly Series Summable Markuschevich Bases in Banach Spaces
• Produits tensoriels topologiques et espaces nucléaires
• Extension properties for the space of compact operators.
• Separable lifting property and extensions of local reflexivity

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