Positive approximation properties of Banach lattices

DOI10.11650/tjm/170807zbMath1411.46016OpenAlexW2762243421MaRDI QIDQ1990400

Dong Yang Chen

Publication date: 25 October 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1507082434

zbMATH Keywords

positive approximation propertybounded positive approximation propertypositive extendable local reflexivitypositive weakly compact operators

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Spaces of operators; tensor products; approximation properties (46B28)

Cites Work

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• The convex approximation property of Banach spaces
• Lifting bounded approximation properties from Banach spaces to their dual spaces
• New criterion of the approximation property
• Duality in spaces of operators and smooth norms on Banach spaces
• The positive approximation property of Banach lattices
• Banach lattices
• Factoring weakly compact operators
• A Banach lattice without the approximation property
• Isometric factorization of weakly compact operators and the approximation property
• The strong approximation property
• A complementably universal conjugate Banach space and its relation to the approximation problem
• Right and Left Weak Approximation Properties in Banach Spaces
• Factoring Compact and Weakly Compact Operators through Reflexive Banach Lattices
• Geometry of Banach spaces having shrinking approximations of the identity
• Lifting of the approximation property from Banach spaces to their dual spaces
• On lifting the approximation property from a Banach space to its dual
• Produits tensoriels topologiques et espaces nucléaires
• Extension properties for the space of compact operators.
• Separable lifting property and extensions of local reflexivity