On the dual positive Schur property in Banach lattices

DOI10.1007/s11117-012-0203-7zbMath1310.46023OpenAlexW1975190289MaRDI QIDQ369613

Witold Wnuk

Publication date: 19 September 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-012-0203-7

zbMATH Keywords

Schur propertyGrothendieck propertypositive Schur propertypositive Grothendieck property

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach lattices (46B42) Banach sequence spaces (46B45) Positive linear operators and order-bounded operators (47B65)

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Cites Work

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• Unnamed Item
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• Positive almost Dunford-Pettis operators and their duality
• Some characterizations of almost Dunford-Pettis operators and applications
• \(L\)-weakly and \(M\)-weakly compact operators
• Orlicz spaces and modular spaces
• The strong Schur property in Banach lattices
• On the weak Dunford-Pettis property
• Compact operators in Banach lattices
• Landau type theorem for Orlicz spaces
• Banach lattices
• Some applications of Rademacher sequences in Banach lattices
• Relative weak compactness of solid hulls in Banach lattices
• A Banach-lattice version of the Josefson-Nissenzweig theorem
• THE SCHUR PROPERTY OF BANACH LATTICES AND THE COMPACTNESS OF WEAKLY COMPACT OPERATORS
• On the order-topological properties of the quotient space $L/L_{A}$
• Weak ∗ Convergence in Higher Duals of Orlicz Spaces
• The Schur and (weak) Dunford-Pettis properties in Banach lattices

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