LOCALLY MEASURABLE OPERATORS FORJW-ALGEBRAS AND THE REPRESENTATION OF ORDERED JORDAN ALGEBRAS

DOI10.1070/IM1985V024N02ABEH001225zbMath0604.46065OpenAlexW2048910354MaRDI QIDQ3742177

Shavkat A. Ayupov

Publication date: 1985

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1985v024n02abeh001225

zbMATH Keywords

quantum probability theorynon commutative integrationabstract ordered Jordan algebrasGelfand-Neumark theorem for OJ-algebrasmeasurable and locally measurable operators affiliated with a JW-algebrameasurable and locally measurable self-adjoint operators

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Jordan structures associated with other structures (17C50) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

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