Contraction Operators Quasisimilar to a Unilateral Shift

DOI10.2307/1999155zbMath0547.47018OpenAlexW4238921987MaRDI QIDQ3338803

V. T. Alexander

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999155

zbMATH Keywords

analytic independence of vectorscyclic vectors of the backward shift operatornecessary and sufficient conditions for a contraction to be quasisimilar to the unilateral shift of finite multiplicityoperator of analytic type

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (3)

Curvatures and Similarity of Operators with Holomorphic Eigenvectors ⋮ Hyponormal Operators Quasisimilar to an Isometry ⋮ The Jordan form of a bitriangular operator

Cites Work

• Cyclic vectors and invariant subspaces of the backward shift operator
• Subnormal Operators Quasisimilar to an Isometry
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