Unbounded operators: Perturbations and commutativity problems

DOI10.1016/0022-1236(80)90030-0zbMath0458.47034OpenAlexW2059412329MaRDI QIDQ1151581

Palle E. T. Jorgensen

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90030-0

zbMATH Keywords

singular perturbationsunbounded operatorinvariant subspacescommutantreducing subspacesmodels for operatorsoperator graph

Mathematics Subject Classification ID

Subnormal operators, hyponormal operators, etc. (47B20) Perturbation theory of linear operators (47A55) Invariant subspaces of linear operators (47A15) Commutators, derivations, elementary operators, etc. (47B47) Canonical models for contractions and nonselfadjoint linear operators (47A45)

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Cites Work

• A bounded operator approach to Tomita-Takesaki theory
• Similarity of operator algebras
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• Non-unitary dual spaces of groups
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• Invariant subspaces and weakly closed algebras
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• A Commutativity Theorem for Normal Operators
• Functional Operators (AM-22), Volume 2
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