Contractions with a unilateral shift summand are reflexive

DOI10.1007/BF01195874zbMath0582.47014MaRDI QIDQ1068338

Pei Yuan Wu

Publication date: 1984

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

reflexive operatordirect sum of a unilateral shift and any contraction is reflexiveweakly closed algebra consisting of those operators which leave invariant all the invariant subspaces

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Invariant subspaces of linear operators (47A15) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (5)

On consistent operators and reflexivity ⋮ Operator algebras and lattices of invariant subspaces. II ⋮ Hyponormal Operators Quasisimilar to an Isometry ⋮ Invariant subspaces of operator algebras ⋮ Operator algebras and lattices of invariant subspaces. I

Cites Work

• Sur les décompositions directes des contractions de l'espace de Hilbert
• Invariant subspaces and unstarred operator algebras
• Contractions with Constant Characteristic Function are Reflexive
• Contractions with the Bicommutant Property
• Every Isometry is Reflexive
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