Completeness of inner product spaces induced by states on Jordan and \(C^\ast\)-algebras

DOI10.1007/s10773-014-2443-8zbMath1347.46044OpenAlexW2003899365MaRDI QIDQ904469

Ekaterina Turilova

Publication date: 13 January 2016

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-014-2443-8

zbMATH Keywords

statesJordan algebrasinner product spaces

Mathematics Subject Classification ID

States of selfadjoint operator algebras (46L30) Nonassociative selfadjoint operator algebras (46L70) Jordan algebras (algebras, triples and pairs) (17C99)

Related Items (1)

Studies on noncommutative measure theory in Kazan university (1968--2018)

Cites Work

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• Subalgebras of \(C^ *\)-algebras
• Completeness of Gelfand-Neumark-Segal inner product space on Jordan algebras
• COMPLETENESS OF *-SYMMETRIC GELFAND-NAIMARK-SEGAL INNER PRODUCT SPACES
• Reduction of Lie–Jordan Banach algebras and quantum states
• Finite Sums of Irreducible Functionals on C ∗ -Algebras
• Jordan algebras of self-adjoint operators

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