Dual banach lattices and Banach lattices with the Radon-Nikodym property

Name: Dual banach lattices and Banach lattices with the Radon-Nikodym property
Creator: Talagrand, Michel
Keywords: Banach lattices, Radon-Nikodym property, 0101 mathematics, Radon-Nikodým, Kreĭn-Milman and related properties, separable dual Banach lattice, Banach lattice, 01 natural sciences

Talagrand, Michel

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Israel Journal of Ma...arrow_drop_down

Israel Journal of Mathematics

Article . 1981 . Peer-reviewed

License: Springer TDM

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zbMATH Open

Article . 1981

Data sources: zbMATH Open

https://dx.doi.org/10.1007/bf0...

Article

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Dual banach lattices and Banach lattices with the Radon-Nikodym property

Dual Banach lattices and Banach lattices with the Radon-Nikodym property

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1981 English Publisher:Springer Science and Business Media LLCJournal:Israel Journal of Mathematics, volume 38, pages 46-50 (issn: 0021-2172, eissn: 1565-8511,

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Authors: Talagrand, Michel;

doi: 10.1007/bf02761847

Dual banach lattices and Banach lattices with the Radon-Nikodym property

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Abstract

We construct a separable dual Banach latticeE such that no non-trivial order interval of its dual is weakly compact. HenceE has the Radon-Nikodym property without being in some sense a dual in a natural way.

Related Organizations

Paris 8 University
France
University of Paris
France

Keywords

Banach lattices, Radon-Nikodym property, Radon-Nikodým, Kreĭn-Milman and related properties, separable dual Banach lattice, Banach lattice

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