Grothendieck ordered Banach spaces with an interpolation property

DOI10.1090/S0002-9939-2012-11437-6zbMath1278.46020OpenAlexW2084208604MaRDI QIDQ4910777

Foivos Xanthos, Ioannis A. Polyrakis

Publication date: 19 March 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2012-11437-6

zbMATH Keywords

Banach latticesordered Banach spacesregular operatorsGrothendieck spaces

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators on ordered spaces (47B60) Ordered normed spaces (46B40)

Related Items

Grothendieck spaces: the landscape and perspectives

Cites Work

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• Cone characterization of Grothendieck spaces and Banach spaces containing \(c _{0}\)
• Grothendieck spaces with the Dunford-Pettis property
• Reflexivity and the Grothendieck property for positive tensor products of Banach lattices. I
• Weak\(*\) convergence in the dual of weak \(L^{p}\)
• Banach lattices
• Spaces of operators with the Riesz separation property
• THE REGULARITY OF ORDER BOUNDED OPERATORS INTO C (K), II
• Sequential Convergence in the Order Duals of Certain Classes of Riesz Spaces
• The Riesz decomposition property for the space of regular operators
• Weak Compactness in the Order Dual of a Vector Lattice
• Measures on F-Spaces
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)