The Radon-Nikodym theorem for weights on semifinite JBW-algebras

DOI10.1007/BF01161651zbMath0567.46036OpenAlexW2077954132MaRDI QIDQ1059825

Rustam Z. Abdullaev, Shavkat A. Ayupov

Publication date: 1985

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173554

zbMATH Keywords

centralfaithful normal semifinite tracenormal semifinite weightpositive spectral familyRadon-Nikodym theorem in JBW-algebras

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Jordan structures on Banach spaces and algebras (17C65)

Related Items (2)

Weights on Jordan Banach algebras ⋮ Traces on JW-algebras and enveloping \(W^ *\)-algebras

Cites Work

• On normed Jordan algebras which are Banach dual spaces
• Real structure in the hyperfinite factor
• Normal weights on \(W^*\)-algebras
• A Gelfand-Neumark theorem for Jordan algebras
• Jordan algebras of type I
• The Radon-Nikodym theorem for von Neumann algebras
• Semifinite traces on JBW-algebras
• TYPE I₂ JBW-ALGEBRAS
• Jordan algebras of self-adjoint operators
• Irreducible Jordan Algebras of Self-Adjoint Operators
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