Boolean valued interpretation of Hilbert space theory

DOI10.2969/jmsj/03540609zbMath0526.46069OpenAlexW1966405430MaRDI QIDQ595177

Masanao Ozawa

Publication date: 1983

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03540609

zbMATH Keywords

Hilbert spacesintertwining operatorstransfer principleBoolean valued analysiscommutative W*-algebraHahn- Hellinger spectral multiplicity theorynon-degenerate normal *-representationsScott-Solovay's Boolean valued model

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Nonstandard functional analysis (46S20) Inner product spaces and their generalizations, Hilbert spaces (46C99) Nonstandard models (03H99)

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