Perturbation of \(\ell_1\)-copies in preduals of \(\operatorname{JBW}^\ast\)-triples

DOI10.1016/j.jmaa.2015.08.032zbMath1347.46007arXiv1405.5414OpenAlexW2962948910MaRDI QIDQ890494

Hermann Pfitzner, Antonio M. Peralta

Publication date: 10 November 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.5414

zbMATH Keywords

measure topology\(\operatorname{JBW}^\ast\)-triple predualsasymptotic isometric \(\ell_1\)-copiesvon Neumann preduals

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isometric theory of Banach spaces (46B04) Nonassociative selfadjoint operator algebras (46L70)

Related Items

Weak Banach-Saks property and Komlós’ theorem for preduals of JBW*-triples

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(M\)-ideals in Banach spaces and Banach algebras
• Orthogonality preservers in C\(^*\)-algebras, JB\(^*\)-algebras and JB\(^*\)-triples
• Non-commutative generalisations of Urysohn's lemma and hereditary inner ideals
• A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
• Conditional expectation and bicontractive projections on Jordan \(C^ *\)- algebras and their generalizations
• The Gelfand-Naimark theorem for \(JB^ *\)-triples
• On the Dunford-Pettis property and Banach spaces that contain \(c_0\)
• On projections in \(L_1\)
• Algebraic characterization of symmetric complex Banach manifolds
• A holomorphic characterization of Jordan \(C^*\)-algebras
• Weak compactness in the dual of a \(C^*\)-algebra is determined commutatively
• \(JB^*\)-triples have Pełczynski's property V
• On subspaces of non-commutative \(L_{p}\)-spaces.
• Complications of semicontinuity in \(C^*\)-algebra theory
• Uniformly non-square Banach spaces
• Dunford-Pettis properties, Hilbert spaces and projective tensor products
• The general Stone-Weierstrass problem
• On subspaces of L\(^p\)
• Banach space theory. The basis for linear and nonlinear analysis
• Norm Preserving Extensions in JBW-Triple Preduals
• Grothendieck's Inequalities for Real and Complex JBW*-Triples
• Weak Banach-Saks property and Komlós’ theorem for preduals of JBW*-triples
• Complete holomorphic vector fields on the second dual of Banach space.
• Weak compactness in the dual space of a JB*-triple is commutatively determined
• ON THE STRONG ^* TOPOLOGY OF A JBW^*-TRIPLE
• Structure of the predual of a JBW*-triple.
• BOUNDED DERIVATIONS OF JB^* - TRIPLES
• On the Facial Structure of the Unit Balls in a JBW^∗ -Triple and its Predual
• Weak*-continuity of Jordan triple products and its applications.
• Grothendieck's Inequality for JB ^∗ -Triples and Applications
• Characterization of the predual and ideal structure of a JBW*-triple.
• Facial Structure in Operator Algebra Theory
• Ultraproducts in Banach space theory.
• Structure spaces and decomposition in JB*-triples
• Strong Subdifferentiability of the Norm on J B-Triples
• Compact tripotents in bi-dual JB*-triples
• The Kadec–Pełczyński–Rosenthal subsequence splitting lemma for JBW^*-triple preduals
• CLOSED TRIPOTENTS AND WEAK COMPACTNESS IN THE DUAL SPACE OF A JB*-TRIPLE