Dunford-Pettis properties, Hilbert spaces and projective tensor products

DOI10.1016/J.JFA.2007.08.010zbMath1139.46004OpenAlexW1990642545MaRDI QIDQ2466527

Antonio M. Peralta, Leslie J. Bunce

Publication date: 15 January 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2007.08.010

zbMATH Keywords

projective tensor productsDunford-Pettis propertiesJB\(^{*}\)-triples

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Nonassociative selfadjoint operator algebras (46L70) Tensor products in functional analysis (46M05)

Related Items (2)

Perturbation of \(\ell_1\)-copies in preduals of \(\operatorname{JBW}^\ast\)-triples ⋮ Weakly compact orthogonality preservers on C\(^*\)-algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• La propriété de Dunford-Pettis dans \(C(K,E)\) et \(L^ 1(E)\)
• The alternative Dunford--Pettis property on projective tensor products
• A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
• The Gelfand-Naimark theorem for \(JB^ *\)-triples
• Factoring weakly compact operators
• Classification of sequentially weakly continuous \(JB^*\)-triples
• Uniform convergence of operators and Grothendieck spaces with the Dunford-Pettis property
• On the surjective Dunford-Pettis property
• Dual spaces of \(JB^*\)-triples and the Radon-Nikodym property
• The alternative Dunford--Pettis property for subspaces of the compact operators
• The Dunford--Pettis and the Kadec--Klee properties on tensor products of JB*-triples
• On the Dunford-Pettis property of the tensor product of $C(K)$ spaces
• The Dunford–Pettis property on tensor products
• The alternative Dunford–Pettis Property in the predual of a von Neumann algebra
• An Alternative Dunford-Pettis Property for JB-Triples
• Structure of the predual of a JBW*-triple.
• A SAITÔ–TOMITA–LUSIN THEOREM FOR JB*-TRIPLES AND APPLICATIONS
• Weak*-continuity of Jordan triple products and its applications.
• Characterization of the predual and ideal structure of a JBW*-triple.
• Normal Representations of Banach Jordan Triple Systems
• Classification of JBW*-triple factors and applications.
• On the reciprocal Dunford-Pettis property in projective tensor products
• A Characterization of Inner Ideals in JB ∗ -Triples
• Ideal perturbations of elements in $C^*$-Algebras.
• An alternative Dunford-Pettis Property
• Structure spaces and decomposition in JB*-triples
• THE ALTERNATIVE DUNFORD–PETTIS PROPERTY, CONJUGATIONS AND REAL FORMS OF C*-ALGEBRAS
• The Dunford-Pettis property in Jb*-Triples
• Remarks on the Predual of a Jb^∗ -Triple
• The alternative Dunford-Pettis property in $C^*$-algebras and von Neumann preduals
• On weak sequential convergence in JB^*-triple duals
• Structural Projections on JBW*-Triples
• Shorter Notes: Weak Convergence of Bounded Sequences
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

This page was built for publication: Dunford-Pettis properties, Hilbert spaces and projective tensor products