Completely Reducible Operators That Commute With Compact Operators

DOI10.2307/2000479zbMath0649.47030OpenAlexW4233908167MaRDI QIDQ3794775

Shlomo Rosenoer

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000479

zbMATH Keywords

invariant subspaceevery compact completely reducible operator is a scalar type spectral operatorevery completely reducible operator commuting with an injective compact operator with a dense range is a scalar type spectral operator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40)

Related Items (1)

Invariant subspaces of operator algebras

Cites Work

• Invariant subspaces for the family of operators which commute with a completely continuous operator
• On commutants of reductive operator algebras
• Completely Reducible Operator Algebras and Spectral Synthesis
• On Operator Algebras Containing Cyclic Boolean Algebras II
• Unnamed Item

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