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Dunford–Pettis properties, Hilbert spaces and projective tensor products

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2007Publisher:Elsevier BVJournal:Journal of Functional Analysis, volume 253, pages 692-710 (issn: 0022-1236,

Authors: L. J. Bunce; Antonio M. Peralta;

doi: 10.1016/j.jfa.2007.08.010

Dunford–Pettis properties, Hilbert spaces and projective tensor products

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Abstract

AbstractWe study complete continuity properties of operators onto ℓ2 and prove several results in the Dunford–Pettis theory of JB∗-triples and their projective tensor products, culminating in characterisations of the alternative Dunford–Pettis property for E⊗ˆπF where E and F are JB∗-triples.

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Keywords

Projective tensor products, Dunford–Pettis properties, Analysis, JB∗-triples

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