\(JB^*\)-triples have Pełczynski's property V

DOI10.1007/BF02677475zbMath0965.46044OpenAlexW2034633384MaRDI QIDQ1360926

Pauline Mellon, Cho-Ho Chu

Publication date: 2 September 1997

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156303

zbMATH Keywords

weakly compact setsJB*-tripleslocal reflexibilityProperty V

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

Related Items (10)

Uniformly convexifying operators in classical Banach spaces ⋮ Topological characterisation of weakly compact operators ⋮ Perturbation of \(\ell_1\)-copies in preduals of \(\operatorname{JBW}^\ast\)-triples ⋮ The Daugavet equation for polynomials on \(\mathrm{C}^\ast\)-algebras and \(\mathrm{JB}^\ast\)-triples ⋮ New examples of non-reflexive Banach spaces with Pelczyński's property (V) ⋮ Ternary operator categories ⋮ Aron-Berner extensions of triple maps with application to the bidual of Jordan Banach triple systems ⋮ Pełczyński's property $V$ for spaces of compact operators ⋮ HYPERMEASURE THEORY ⋮ The Dunford--Pettis and the Kadec--Klee properties on tensor products of JB*-triples

Cites Work

• Solution of the contractive projection problem
• Weakly compact operators on Jordan triples
• The Gelfand-Naimark theorem for \(JB^ *\)-triples
• Weak compactness in the dual of a \(C^*\)-algebra is determined commutatively
• Separable L\(_1\) preduals are quotients of C(\(\Delta\))
• Weak compactness in the dual space of a \(C^*\)-algebra
• Complementation of Jordan Triples in Von Neumann Algebras
• Weak*-continuity of Jordan triple products and its applications.
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
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