On the facial structure of the unit ball in a JB*-triple

DOI10.1515/CRELLE.2010.030zbMath1204.46039OpenAlexW2002280065MaRDI QIDQ3561025

Francisco J. Fernández-Polo, Christopher S. Hoskin, C. Martin Edwards, Antonio M. Peralta

Publication date: 17 May 2010

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2010.030

zbMATH Keywords

JB*-triplefacial structure

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Nonassociative selfadjoint operator algebras (46L70)

Related Items (16)

Tingley's problem for spaces of trace class operators ⋮ Exploring new solutions to Tingley’s problem for function algebras ⋮ Estimations of the numerical index of a JB*-triple ⋮ The minimax principle and related topics in the Jordan setting ⋮ On the extension of isometries between the unit spheres of a C*-algebra and 𝐵(𝐻) ⋮ Extension of isometries from the unit sphere of a rank-2 Cartan factor ⋮ A solution to Tingley's problem for isometries between the unit spheres of compact \(\mathrm C^*\)-algebras and \(\mathrm {JB}^*\)-triples ⋮ Grothendieck’s inequalities for JB$^*$-triples: Proof of the Barton–Friedman conjecture ⋮ ON THE EXTENSION OF ISOMETRIES BETWEEN THE UNIT SPHERES OF A -TRIPLE AND A BANACH SPACE ⋮ Tingley's problem through the facial structure of an atomic \(JBW^*\)-triple ⋮ Non-commutative generalisations of Urysohn's lemma and hereditary inner ideals ⋮ On the facial structure of the unit ball in the dual space of a JB\(^*\)-triple ⋮ Low rank compact operators and Tingley's problem ⋮ Local facial structure and norm-exposed faces of the unit ball in a \(\mathrm{JB}^\ast\)-triple ⋮ On the Mazur-Ulam property for the space of Hilbert-space-valued continuous functions ⋮ Unnamed Item

Cites Work

• A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
• The Gelfand-Naimark theorem for \(JB^ *\)-triples
• Jordan \(C^*\)-algebras
• Grothendieck's Inequalities for Real and Complex JBW*-Triples
• BOUNDED DERIVATIONS OF JB^* - TRIPLES
• A SAITÔ–TOMITA–LUSIN THEOREM FOR JB*-TRIPLES AND APPLICATIONS
• On the Facial Structure of the Unit Balls in a JBW^∗ -Triple and its Predual
• Normal Representations of Banach Jordan Triple Systems
• Facial Structure in Operator Algebra Theory
• A Vidav theorem for Banach Jordan algebras
• Compact tripotents in bi-dual JB*-triples
• CLOSED TRIPOTENTS AND WEAK COMPACTNESS IN THE DUAL SPACE OF A JB*-TRIPLE

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