Average of two extreme points in \(JBW^*\)-triples

DOI10.3792/pjaa.83.176zbMath1207.46046OpenAlexW2041760619MaRDI QIDQ935602

Akhlaq Ahmad Siddiqui

Publication date: 11 August 2008

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1201012601

zbMATH Keywords

von Neumann algebraextreme pointsPeirce decomposition\(JB^{*}\)-algebra\(JBW^{*}\)-algebra\(JBW^{*}\)-triple

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70) Nonassociative topological algebras (46H70) Nonassociative topological algebras with an involution (46K70)

Related Items (6)

Extremely strict ideals in Banach spaces ⋮ ON THE EXTENSION OF ISOMETRIES BETWEEN THE UNIT SPHERES OF A -TRIPLE AND A BANACH SPACE ⋮ Metric characterisation of unitaries in JB\(^*\)-algebras ⋮ On the geometry of the unit ball of a \(J B^{*}\)-triple ⋮ On the Mazur-Ulam property for the space of Hilbert-space-valued continuous functions ⋮ The \(\lambda\)-function in \(JB^\ast\)-triples

Cites Work

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• A Gelfand-Neumark theorem for Jordan algebras
• Classification of \(JBW^ *\)-triples of type I
• Self-adjointness in unitary isotopes of \(JB^*\)-algebras
• Isometries of operator algebras
• Characterization of the predual and ideal structure of a JBW*-triple.
• A Vidav theorem for Banach Jordan algebras
• An extremal property of the polar decomposition in von Neumann algebras

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