Completeness of Gelfand-Neumark-Segal inner product space on Jordan algebras

DOI10.1515/ms-2015-0150zbMath1374.46052OpenAlexW2462518751MaRDI QIDQ2822865

Jan Hamhalter, Ekaterina Turilova

Publication date: 5 October 2016

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2015-0150

zbMATH Keywords

completenesspure stateGNS representationJordan Banach algebras

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

Related Items

Completeness of inner product spaces induced by states on Jordan and \(C^\ast\)-algebras, Completeness of inner product spaces associated with functional on Jordan structures, Studies on noncommutative measure theory in Kazan university (1968--2018)

Cites Work

• Left ideal structure of \(C^*\)-algebras
• COMPLETENESS OF *-SYMMETRIC GELFAND-NAIMARK-SEGAL INNER PRODUCT SPACES
• IRREDUCIBLE OPERATOR ALGEBRAS
• Irreducible representations of operator algebras