Singular inner functions and biinvariant subspaces for dissymmetric weighted shifts

DOI10.1006/jfan.1996.2996zbMath0938.47003OpenAlexW1983747292MaRDI QIDQ674730

Jean Esterle

Publication date: 29 April 1997

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.2996

zbMATH Keywords

biinvariant and hyperinvariant subspacesdissymmetric weightdissymmetric weighted shift

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Invariant subspaces of linear operators (47A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (12)

The existence of hyperinvariant subspaces for weighted shift operators ⋮ Do some nontrivial closed 𝑧-invariant subspaces have the division property? ⋮ Completely indecomposable operators and a uniqueness theorem of Cartwright-Levinson type ⋮ On contractions with compact defects ⋮ Product of hyperfunctions on the circle ⋮ Multipliers of weighted spaces and reflexivity property ⋮ Cyclicity of bicyclic operators and completeness of translates ⋮ Reducible representations of abelian groups ⋮ Sous-espaces biinvariants pour certains shifts pondérés. (Biinvariant subspaces for some weighted spaces) ⋮ The existence of translation invariant subspaces of symmetric self-adjoint sequence spaces on \(\mathbb{Z}\) ⋮ Example of a quasianalytic contraction whose spectrum is a proper subarc of the unit circle ⋮ Asymptotically holomorphic functions and translation invariant subspaces of weighted Hilbert spaces of sequences

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