Polynomials in the de Branges spaces of entire functions

DOI10.1007/s11512-005-0006-1zbMath1169.46303OpenAlexW2089693328MaRDI QIDQ1005715

Anton D. Baranov

Publication date: 9 March 2009

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-005-0006-1

zbMATH Keywords

density of polynomialsde Branges spacesshift-coinvariant subspaceshypercyclicity of translation operators

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Special classes of entire functions of one complex variable and growth estimates (30D15) Cyclic vectors, hypercyclic and chaotic operators (47A16)

Related Items (14)

de Branges Spaces and Kreĭn’s Theory of Entire Operators ⋮ The Beurling–Malliavin Multiplier Theorem and Its Analogs for the de Branges Spaces ⋮ Jacobi Matrices and de Branges Spaces ⋮ Admissible majorants for model subspaces, and arguments of inner functions ⋮ Majorization in de Branges spaces. II: Banach spaces generated by majorants ⋮ One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum ⋮ Majorization in de Branges spaces. I: Representability of subspaces ⋮ On the spectral characterization of entire operators with deficiency indices \((1,1)\) ⋮ Subspaces of de Branges spaces with prescribed growth ⋮ Majorization in de Branges spaces. III. Division by Blaschke products ⋮ Admissibility of majorants in certain model subspaces: Necessary conditions ⋮ Linear dynamics in reproducing kernel Hilbert spaces ⋮ Beurling–Malliavin multiplier theorem: The seventh proof ⋮ The zero-removing property in Hilbert spaces of entire functions arising in sampling theory

Cites Work

• Operators with dense, invariant, cyclic vector manifolds
• Admissible majorants for model subspaces, and arguments of inner functions
• The Hamburger moment problem and weighted polynomial approximation on discrete subsets of the real line
• De Branges spaces of entire functions closed under forming difference quotients
• Sequences of derivatives and normal families
• Subspaces of de Branges Spaces Generated by Majorants
• Admissible Majorants for Model Subspaces of H², Part I: Slow Winding of the Generating Inner Function
• Admissible Majorants for Model Subspaces of H², Part II: Fast Winding of the Generating Inner Function
• Hermite-Biehler functions with zeros close to the imaginary axis
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