Topological properties of unbounded bicommutants

DOI10.1063/1.526510zbMath0614.47034OpenAlexW2019450083MaRDI QIDQ4721098

Françoise D. Mathot

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526510

zbMATH Keywords

algebra of unbounded operatorsunbounded commutants\(V^ *\)-algebrasunbounded bicommutants

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (11)

TOPOLOGICAL PARTIAL *-ALGEBRAS: BASIC PROPERTIES AND EXAMPLES ⋮ Unnamed Item ⋮ An unbounded generalization of the Tomita-Takesaki theory. II ⋮ On some classes of unbounded commutants of unbounded operator families ⋮ Bitraces on partial \(O^{\ast}\)-algebras ⋮ Some unbounded commutants of a set of operators on a partial inner product space ⋮ Partial \(\star\)-algebras of closable operators. II: States and representations of partial \(\star\)-algebras ⋮ Commutants and bicommutants of algebras of unbounded operators ⋮ An unbounded generalization of the Tomita-Takesaki theory ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• On the algebra of field operators. The weak commutant and integral decompositions of states
• A class of unbounded operator algebras
• Unbounded representations of \(^*\)-algebras
• On the decomposition of states of some *-algebras
• Self-adjoint algebras of unbounded operators
• Topological algebras of operators
• V*-algebras: A particular class of unbounded operator algebras
• Orthocomplemented subspaces of nondegenerate partial inner product spaces

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