The positive approximation property of Banach lattices

DOI10.1007/BF02767356zbMath0666.46016OpenAlexW2020070700MaRDI QIDQ1116407

N. J. Nielsen

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf02767356

zbMATH Keywords

Banach latticepositive approximation propertybounded p.a.p.

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach lattices (46B42) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (6)

Lifting convex approximation properties from Banach spaces to their dual spaces and the related local reflexivity ⋮ On the positive approximation property ⋮ Positive approximation properties of Banach lattices ⋮ The convex approximation property of Banach spaces ⋮ On Kalton’s theorem for regular compact operators and Grothendieck property for positive projective tensor products ⋮ Positively \(p\)-nuclear operators, positively \(p\)-integral operators and approximation properties

Cites Work

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• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• The ideal property of tensor products of Banach lattices with applications to the local structure of spaces of absolutely summing operators
• On the positive projection constant
• Order bounded operators and tensor products of Banach lattices.
• Produits tensoriels topologiques et espaces nucléaires

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