The strong Schur property in Banach lattices

DOI10.1007/S11117-008-2252-5zbMath1180.46015OpenAlexW2066630553MaRDI QIDQ1029225

Witold Wnuk

Publication date: 10 July 2009

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-008-2252-5

zbMATH Keywords

Banach latticeSchur propertystrong Schur propertysubsequence splitting property

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Banach lattices (46B42)

Related Items (5)

Lipschitz-free spaces and Schur properties ⋮ The positive Schur property on positive projective tensor products and spaces of regular multilinear operators ⋮ On the dual positive Schur property in Banach lattices ⋮ The problem of central orthomorphisms in a class of \(F\)-lattices ⋮ On the Schur, positive Schur and weak Dunford–Pettis properties in Fréchet lattices

Cites Work

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• On \(c_ 0\) sequences in Banach spaces
• Martingales valued in certain subspaces of \(L^1\)
• Banach spaces whose duals contain complemented subspaces isomorphic to C\([0,1\)]
• On Subspaces of c0 and Extension of Operators into C(K)-Spaces
• Banach Lattices with the Subsequence Splitting Property

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