Operator ranges and non-cyclic vectors for the backward shift

DOI10.1007/BF01208350zbMath0823.47028WikidataQ114234014 ScholiaQ114234014MaRDI QIDQ1893856

Michael Sand

Publication date: 5 November 1995

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

zbMATH Keywords

operators on the Hardy spacerange containing all of the non-cyclic vectors of the backward shiftToeplitz, Hankel and composition operators

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Cites Work

• A problem of Douglas and Rudin on factorization
• Operator-valued Nevanlinna-Pick kernels and the functional models for contraction operators
• Linear fractional composition operators on \(H^ 2\)
• Cyclic vectors and invariant subspaces of the backward shift operator
• On operator ranges
• Generalized Interpolation in H ∞
• Composition Operators
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