ON A QUESTION OF BOURAS CONCERNING WEAK COMPACTNESS OF ALMOST DUNFORD–PETTIS SETS

DOI10.1017/S0004972715000179zbMath1339.46017arXiv1609.06906MaRDI QIDQ5501754

Lei Li, Jin Xi Chen

Publication date: 14 August 2015

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.06906

zbMATH Keywords

Banach latticealmost Dunford-Pettis setpositive Schur property\(L\)-weakly compact set\(KB\)-space

Mathematics Subject Classification ID

Banach lattices (46B42) Compactness in Banach (or normed) spaces (46B50) Ordered topological linear spaces, vector lattices (46A40)

Related Items (5)

Complete latticeability in vector‐valued sequence spaces ⋮ Positively limited sets in Banach lattices ⋮ Two classes of operators related to positively limited sets on Banach lattices ⋮ Polynomial versions of almost Dunford-Pettis sets and almost limited sets in Banach lattices ⋮ The positive polynomial Schur property in Banach lattices

Cites Work

• Almost Dunford-Pettis sets in Banach lattices
• Almost limited sets in Banach lattices

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