Vector lattices of weakly compact operators on Banach lattices

DOI10.1090/S0002-9947-99-02431-9zbMath0942.47026OpenAlexW1822193559MaRDI QIDQ4700134

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Publication date: 1 November 1999

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02431-9

zbMATH Keywords

KB-spaceAL-spacespaces of compact operatorsorder structure of spaces of weakly compact operators between Banach latticesweakly compact modulus

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Positive linear operators and order-bounded operators (47B65)

Related Items (6)

Weakly compactly generated Banach lattices ⋮ A note on \(b\)-weakly compact operators ⋮ The order σ-complete vector lattice of AM-compact operators ⋮ Sur les opérateurs de Dunford-Pettis positifs qui sont faiblement compacts ⋮ On some vector lattices of operators and their finite elements ⋮ Dedekind σ-complete vector lattice of b-AM-compact operators

Cites Work

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• The modulus of a weakly compact operator
• Banach lattices
• Relative weak compactness of solid hulls in Banach lattices
• Regular-norm balls can be closed in the strong operator topology
• On the Modulus of Weakly Compact Operators and Strongly Additive Vector Measures
• On Weakly Compact Operators on Banach Lattices
• A Compact Regular Operator Without Modulus
• Solutions of Several Problems in the Theory of Compact Positive Operators

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