Spectra of composition operators on Fock-type spaces

DOI10.2989/16073606.2019.1692092OpenAlexW2991571588WikidataQ126671031 ScholiaQ126671031MaRDI QIDQ4986527

Werkaferahu Seyoum, Tesfa Mengestie

Publication date: 27 April 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2019.1692092

zbMATH Keywords

spectrumcompactcompositionessential normboundedconnectedsupercyclichypercyclicgeneralized Fock spacesextremalisolated

Mathematics Subject Classification ID

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) Linear composition operators (47B33) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Bergman spaces and Fock spaces (30H20)

Related Items (9)

Supercyclicity and resolvent condition for weighted composition operators ⋮ Resolvent growth condition for composition operators on the Fock space ⋮ Weighted composition operators on the Fock space: iteration and semigroups ⋮ Integral and weighted composition operators on Fock-type spaces ⋮ Unnamed Item ⋮ Mean ergodic composition operators on generalized Fock spaces ⋮ Convex-cyclic weighted composition operators and their adjoints ⋮ Spectrums and uniform mean ergodicity of weighted composition operators on Fock spaces ⋮ Dynamics of weighted composition operators and their adjoints on the Fock space

Cites Work

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• Weighted composition operators between different Fock spaces
• Volterra type and weighted composition operators on weighted Fock spaces
• Integral, differential and multiplication operators on generalized Fock spaces
• Spectra of weighted composition operators with automorphic symbols
• Carleson type measures for Fock-Sobolev spaces
• Subordinate \(H^ P\) functions
• The role of the spectrum in the cyclic behavior of composition operators
• Composition Operators

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