An unbounded generalization of Tomita's observable algebras. II

DOI10.1016/S0034-4877(23)00028-9OpenAlexW4365137163MaRDI QIDQ6091125

Hiroshi Inoue

Publication date: 24 November 2023

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(23)00028-9

zbMATH Keywords

\(O^*\)-algebrasTomita's observable algebras(strongly) singular \(T^\dagger\)-algebras(weakly) semisimple \(T^\dagger\)-algebrasdecomposition of \(T^\dagger\)-algebrasregular \(T^\dagger\)-algebras

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX) Functional analysis (46-XX)

Related Items (1)

Polar decomposition and functional calculus for generalized Tomita's observables

Cites Work

• Self-adjoint algebras of unbounded operators
• Topological algebras of operators
• Tomita's lectures on observable algebras in Hilbert space
• An unbounded generalization of Tomita's observable algebras
• Theory of operator algebras I.
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