Dynamics of weighted composition operators and their adjoints on the Fock space

DOI10.1007/s11785-022-01204-zOpenAlexW4213442706MaRDI QIDQ2114380

Tesfa Mengestie

Publication date: 15 March 2022

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-022-01204-z

zbMATH Keywords

eigenvalueeigenvectorweighted composition operatorsFock spaceadjointsupercycliccyclichypercyclic

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 (2)

Hypercyclic exponential of the differential operator on Banach spaces related to Fock spaces ⋮ Cyclic composition operators on Segal-Bargmann space

Cites Work

• Weighted composition operators on Fock spaces and their dynamics
• Spectrums and uniform mean ergodicity of weighted composition operators on Fock spaces
• Topological and dynamical properties of composition operators
• Carleson type measures for Fock-Sobolev spaces
• Analysis on Fock Spaces
• Spectral Theory of Operators on Hilbert Spaces
• Weighted composition operator on the Fock space
• Sums and Products of Cyclic Operators
• WEIGHTED COMPOSITION OPERATORS ON THE BERGMAN SPACE
• Spectra of composition operators on Fock-type spaces
• The Isometries of H^p
• Normal and isometric weighted composition operators on the Fock space
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