A generalization of Schatten-von Neumann-Dixmier' theorem for type I \(AW^*\)-algebras

DOI10.2748/TMJ/1178242557zbMath0236.46065OpenAlexW2036943919MaRDI QIDQ2552279

Choichiro Sunouchi

Publication date: 1971

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178242557

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Cites Work

• Embedding in algebras of type I
• A Stone-Weierstrass theorem for \(C^*\)-algebras
• On the \(C_ p\)-classes in the maximal CCR ideal of a von Neumann algebra
• Algebras of type I
• The Maximal GCR Ideal in an AW ∗ -Algebra
• A Spectral Decomposition for Self-Adjoint Elements in the Maximum GCR Ideal of a Von Neumann Algebra with Applications to Noncommutative Integration Theory
• A Theory of Cross-Spaces. (AM-26)
• Modules Over Operator Algebras

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