Almost limited sets in Banach lattices

DOI10.1016/j.jmaa.2013.10.085zbMath1353.46015arXiv1309.2020OpenAlexW2963661502MaRDI QIDQ2019126

Jin Xi Chen, Guo Xing Ji, Zi-Li Chen

Publication date: 27 March 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2020

zbMATH Keywords

Banach latticealmost Dunford-Pettis operatorpositive Schur propertyalmost limited setwDP\(^*\)-property

Mathematics Subject Classification ID

Banach lattices (46B42)

Related Items (31)

The strong limited p-Schur property in Banach lattices ⋮ On the class of disjoint limited completely continuous operators ⋮ On positive almost weak* Dunford-Pettis operators ⋮ Weak \(M\) weakly compact and weak \(L\) weakly compact operators ⋮ DOMINATION BY POSITIVE WEAK DUNFORD–PETTIS OPERATORS ON BANACH LATTICES ⋮ A class of sets in a Banach space coarser than limited sets ⋮ Some characterizations of almost limited operators ⋮ On the positively limited \(p\)-Schur property in Banach lattices ⋮ Disjointly weak compactness in Banach lattices ⋮ Positively limited sets in Banach lattices ⋮ Operators affiliated to Banach lattice properties and their enveloping norms ⋮ Some properties of 𝑝-limited sets ⋮ On almost limited \(p\)-convergent operators on Banach lattices ⋮ The property (d) and the almost limited completely continuous operators ⋮ Some new results on \textit{LW}-compact operators ⋮ A note on L-Dunford-Pettis sets in a topological dual Banach space ⋮ Grothendieck-type subsets of Banach lattices ⋮ Some properties of almost interval-preserving operators ⋮ Order almost DUNFORD-PETTIS Operators on Banach lattices ⋮ Weak compactness of almost limited operators ⋮ On the class of almost order (L) sets and applications ⋮ On the positive weak almost limited operators ⋮ The strong Gelfand-Phillips property in Banach lattices ⋮ Polynomial versions of almost Dunford-Pettis sets and almost limited sets in Banach lattices ⋮ Polynomial versions of weak Dunford-Pettis properties in Banach lattices ⋮ The relationship between almost Dunford-Pettis operators and almost limited operators ⋮ On weak-starp-convergent operators ⋮ On the class of almost (L) limited operators ⋮ ON A QUESTION OF BOURAS CONCERNING WEAK COMPACTNESS OF ALMOST DUNFORD–PETTIS SETS ⋮ Unnamed Item ⋮ Weak precompactness in Banach lattices

Cites Work

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• Almost Dunford-Pettis sets in Banach lattices
• On the weak Dunford-Pettis property
• Banach lattices
• Characterizations of Banach spaces via convex and other locally Lipschitz functions
• (L) sets and almost (L) sets in Banach lattices
• A note on the positive Schur property
• Limited Operators and Strict Cosingularity
• A Characterization of Discrete Banach Lattices with Order Continuous Norms
• Weak Compactness in the Order Dual of a Vector Lattice
• A stronger Dunford–Pettis property

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