Some unbounded commutants of a set of operators on a partial inner product space

DOI10.1063/1.528125zbMath0657.46015OpenAlexW1983146994MaRDI QIDQ3805271

J. Shabani

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.528125

zbMATH Keywords

operators on a partial inner product spacePIP spaceclosed Op *-algebrasquasiweak *-topologiesunbounded commutants

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) Inner product spaces and their generalizations, Hilbert spaces (46C99)

Cites Work

• Algebras of unbounded operators and vacuum superselection rules in quantum field theory. II. Mathematical structure of vacuum superselection rules
• Partial *-algebras of closed linear operators in Hilbert space
• Partial inner product spaces. I: General properties
• Partial inner product spaces. II: Operators
• Unbounded representations of \(^*\)-algebras
• On a certain class of *-algebras of unbounded operators
• Self-adjoint algebras of unbounded operators
• Topological algebras of operators
• V*-algebras: A particular class of unbounded operator algebras
• Commutants of a family of operators on a partial inner product space
• On some classes of unbounded commutants of unbounded operator families
• Partial inner product spaces. III. Compatibility relations revisited
• Partial inner product spaces. IV. Topological considerations
• Orthocomplemented subspaces of nondegenerate partial inner product spaces
• Topological properties of unbounded bicommutants

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