Reflexivity and the Grothendieck property for positive tensor products of Banach lattices. I

DOI10.1007/s11117-009-0004-9zbMath1200.46064OpenAlexW2032257054MaRDI QIDQ963676

Donghai Ji, Qingying Bu, Michelle Craddock

Publication date: 13 April 2010

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-009-0004-9

zbMATH Keywords

Banach latticesreflexivityGrothendieck propertypositive injective tensor productpositive projective tensor product

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Banach lattices (46B42) Spaces of operators; tensor products; approximation properties (46B28) Tensor products in functional analysis (46M05)

Related Items (4)

Cone characterization of Grothendieck spaces and Banach spaces containing \(c _{0}\) ⋮ Grothendieck ordered Banach spaces with an interpolation property ⋮ Grothendieck spaces: the landscape and perspectives ⋮ Positive Schur properties in spaces of regular operators

Cites Work

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• Banach lattices
• Eine Bemerkung über Tensorprodukte von Banachverbänden
• The Radon--Nikodym property for tensor products of Banach lattices
• The \(L_ p\) spaces
• On bases, finite dimensional decompositions and weaker structures in Banach spaces
• Riesz Reasonable Cross Norms on Tensor Products of Banach Lattices
• Some properties of the projective tensor product UX derived from those of U and X
• Tensor Products of Archimedean Vector Lattices
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

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