\(L\)-weakly and \(M\)-weakly compact operators

DOI10.1016/S0019-3577(99)80025-1zbMath1028.47028MaRDI QIDQ698665

M. C. Fu

Publication date: 22 September 2002

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

Banach latticeweakly compact operatorspositive Schur property\(L\)-weak compactness\(M\)-weak compactness

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators defined by compactness properties (47B07) Linear operators on ordered spaces (47B60)

Related Items (27)

On the class of almost L-weakly and almost M-weakly compact operators ⋮ The almost Dunford–Pettis property of semi-compact operators ⋮ Weak \(M\) weakly compact and weak \(L\) weakly compact operators ⋮ The relationship between weak Dunford-Pettis operators and semi-compact operators ⋮ Almost Dunford-Pettis sets in Banach lattices ⋮ On the dual positive Schur property in Banach lattices ⋮ On the class of positive almost weak Dunford-Pettis operators ⋮ Some compactness properties of \(L\)-weakly and \(M\)-weakly compact operators ⋮ Disjointly weak compactness in Banach lattices ⋮ Some results on upper semi-Fredholm operators on Banach lattices ⋮ Duality property for positive weak Dunford-Pettis operators ⋮ Some results on b-AM-compact operators ⋮ Some characterizations of almost Dunford-Pettis operators and applications ⋮ Compactness of L-weakly and M-weakly compact operators on Banach lattices ⋮ On L-, M-Weakly Compact and Rank-One Operators ⋮ Banach lattices of \(L\)-weakly and \(M\)-weakly compact operators ⋮ Weak and almost Dunford–Pettis operators on Banach lattices ⋮ Weak compactness of almost limited operators ⋮ About positive weak Dunford-Pettis operators on Banach lattices ⋮ L- and M-weak compactness of positive semi-compact operators ⋮ On the lattice properties of almost L-weakly and almost M-weakly compact operators ⋮ Some properties of almost L-weakly and almost M-weakly compact operators ⋮ Some properties of the class of positive Dunford--Pettis operators ⋮ LW-compact operators and domination problem ⋮ The relationship between almost Dunford-Pettis operators and almost limited operators ⋮ Unbounded order convergence and application to martingales without probability ⋮ On the product of almost Dunford-Pettis and order weakly compact operators

Cites Work

• Compact operators in Banach lattices
• Banach lattices
• Relative weak compactness of solid hulls in Banach lattices
• When each continuous operator is regular. II
• Some characterizations of AM- and AL-spaces
• Factoring Compact and Weakly Compact Operators through Reflexive Banach Lattices
• A Compact Regular Operator Without Modulus
• Solutions of Several Problems in the Theory of Compact Positive Operators
• Remark on the modulus of compact operators
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