On the symmetric commutant - canonical decomposition of families of Hilbert space operators

DOI10.1007/BF02384310zbMath0527.47029OpenAlexW2016780755MaRDI QIDQ786379

Waclaw Szymanski

Publication date: 1983

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02384310

zbMATH Keywords

invariant subspace problem(SC)-canonical decompositioncanonical decomposition of a given family of Hilbert space operatorscompletely non-normal partreductive algebrasreductive operatorssymmetry of the commutant

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear spaces of operators (47L05)

Cites Work

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• On commutants of reductive operator algebras
• Analyticity and flows in von Neumann algebras
• Operator algebras with reducing invariant subspaces
• Antisymmetric operator algebras, I
• Hyperinvariant Subspaces of Reductive Operators
• Operators in the Commutant of a Reductive Algebra
• Decompositions of operator-valued functions in Hilbert spaces
• An equivalent formulation of the invariant subspace conjecture

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