Geometric characterization of real JBW-factors

DOI10.23671/VNC.2018.1.11398zbMath1448.81065MaRDI QIDQ4970036

M. M. Ibragimov, Zh. Kh. Seipullaev, Karimbergen K. Kudaybergenov

Publication date: 14 October 2020

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj646

zbMATH Keywords

faceBanach spaceJBW-algebrafacially symmetric spaceJBW-factor

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) General theory of von Neumann algebras (46L10) Structure theory for Jordan algebras (17C10) Convex sets in topological linear spaces; Choquet theory (46A55) States of selfadjoint operator algebras (46L30) Applications of Jordan algebras to physics, etc. (17C90) Quantum state spaces, operational and probabilistic concepts (81P16) Dual spaces of operator algebras (47L50)

Cites Work

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• State spaces of \(JB^*\)-triples
• Facially symmetric spaces and predual ones of Hermitian part of von Neumann algebras
• Some affine geometric aspects of operator algebras
• Affine structure of facially symmetric spaces
• A GEOMETRIC SPECTRAL THEOREM
• Classification of Atomic Facially Symmetric Spaces
• Geometry of the Dual Ball of the Spin Factor

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