Necessary and sufficient condition for boundedness of translation operator in de Branges spaces

DOI10.1007/s13348-022-00373-6OpenAlexW4293089566WikidataQ114219984 ScholiaQ114219984MaRDI QIDQ6109976

Carlo Bellavita

Publication date: 31 July 2023

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13348-022-00373-6

zbMATH Keywords

operator semigroupde Branges spaceshorizontal translation operatorvertical translation operator

Mathematics Subject Classification ID

Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Hilbert subspaces (= operator ranges); complementation (Aronszajn, de Branges, etc.) (46C07)

Cites Work

• Estimates of the \(L^p\)-norms of derivatives in spaces of entire functions
• Entire functions of exponential type and model subspaces in \(H^ p\)
• Differentiation in star-invariant subspaces. I: Boundedness and compactness
• Differentiation in star-invariant subspaces. II: Schatten class criteria
• Schrödinger operators and de Branges spaces.
• Necessary conditions for boundedness of translation operator in de Branges spaces
• PÓLYA CLASS THEORY FOR HERMITE–BIEHLER FUNCTIONS OF FINITE ORDER
• Functional Analysis
• De Branges spaces and Fock spaces
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