The Kadec–Pełczyński–Rosenthal subsequence splitting lemma for JBW*-triple preduals

DOI10.4064/sm227-1-5zbMath1360.46062OpenAlexW2908507621WikidataQ125022036 ScholiaQ125022036MaRDI QIDQ5255557

Antonio M. Peralta, Hermann Pfitzner

Publication date: 15 June 2015

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

Full work available at URL: https://doi.org/10.4064/sm227-1-5

zbMATH Keywords

uniform integrabilityweak compactnessJBW\(^\ast\)-triplesKadec-Pełczyński-Rosenthal subsequence splitting lemmaL-embedded Banach spaces

Mathematics Subject Classification ID

Ultraproduct techniques in Banach space theory (46B08) Noncommutative measure and integration (46L51) Isometric theory of Banach spaces (46B04) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

Related Items (4)

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 ⋮ Weak Banach-Saks property and Komlós’ theorem for preduals of JBW*-triples ⋮ Measures of weak non-compactness in preduals of von Neumann algebras and \(JBW^\ast\)-triples

Cites Work

• Automatic continuity of derivations on \(C^\ast\)-algebras and \(JB^\ast\)-triples
• \(M\)-ideals in Banach spaces and Banach algebras
• Some remarks on weak compactness in the dual space of a JB*-triple
• Orthogonality preservers in C\(^*\)-algebras, JB\(^*\)-algebras and JB\(^*\)-triples
• 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
• Martingales valued in certain subspaces of \(L^1\)
• On subspaces of non-commutative \(L_{p}\)-spaces.
• The range of a structural projection
• \(L\)-embedded Banach spaces and measure topology
• Positive definite Hermitian mappings associated with tripotent elements
• The Daugavet property of \(C^{\ast}\)-algebras, \(JB^{\ast}\)-triples, and of their isometric preduals
• The general Stone-Weierstrass problem
• Banach space theory. The basis for linear and nonlinear analysis
• A note on asymptotically isometric copies of $l^1$ and $c_0$
• Norm Preserving Extensions in JBW-Triple Preduals
• Kadec–Pełczyński decomposition for Haagerup L^p-spaces
• TERNARY WEAKLY AMENABLE C*-ALGEBRAS AND JB*-TRIPLES
• Structure of the predual of a JBW*-triple.
• BOUNDED DERIVATIONS OF JB^* - TRIPLES
• Banach–Saks properties in symmetric spaces of measurable operators
• Contractive projections on Jordan $C^*$-algebras and generalizations.
• Grothendieck's Inequality for JB ^∗ -Triples and Applications
• Normal Representations of Banach Jordan Triple Systems
• Symmetric structures in Banach spaces
• Ultraproducts in Banach space theory.
• Embeddings of ℓ_p into Non-commutative Spaces
• Banach Lattices with the Subsequence Splitting Property
• Non-Associative Normed Algebras
• Ultrapowers of \(L_1(\mu)\) and the subsequence splitting principle
• Little Grothendieck`s theorem for real JB*-triples
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