Completeness of inner product spaces associated with functional on Jordan structures

DOI10.1134/S1995080220040277zbMath1465.46070OpenAlexW3045584164MaRDI QIDQ2206666

Jan Hamhalter, Ekaterina Turilova

Publication date: 28 October 2020

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080220040277

zbMATH Keywords

GNS constructionnormal functionals\(JBW^*\) triplets

Mathematics Subject Classification ID

States of selfadjoint operator algebras (46L30) Nonassociative selfadjoint operator algebras (46L70)

Cites Work

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• Measures of weak non-compactness in preduals of von Neumann algebras and \(JBW^\ast\)-triples
• Completeness of Gelfand-Neumark-Segal inner product space on Jordan algebras
• COMPLETENESS OF *-SYMMETRIC GELFAND-NAIMARK-SEGAL INNER PRODUCT SPACES
• Structure of the predual of a JBW*-triple.
• Grothendieck's Inequality for JB ^∗ -Triples and Applications
• Non-Associative Normed Algebras
• Jordan algebras of self-adjoint operators
• Finite Sums of Irreducible Functionals on C ∗ -Algebras
• Irreducible Jordan Algebras of Self-Adjoint Operators
• Quantum measure theory