Supercyclicity and resolvent condition for weighted composition operators

DOI10.1007/s40315-021-00380-xOpenAlexW3156486660MaRDI QIDQ2120946

Werkaferahu Seyoum, Tesfa Mengestie

Publication date: 1 April 2022

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.05373

zbMATH Keywords

weighted composition operatorsFock spacessupercyclichypercyclicRitt resolvent conditionthe unconditional Ritt's condition

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 (1)

Closed range weighted composition operators and dynamical sampling

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Supercyclicity of weighted composition operators on spaces of continuous functions
• Topological structures of generalized Volterra-type integral operators
• Spectrums and uniform mean ergodicity of weighted composition operators on Fock spaces
• Resolvent growth condition for composition operators on the Fock space
• Topological and dynamical properties of composition operators
• Carleson type measures for Fock-Sobolev spaces
• Weighted composition operator on the Fock space
• REMARKS ON ℓ1 AND -MAXIMAL REGULARITY FOR POWER-BOUNDED OPERATORS
• A resolvent condition implying power boundedness
• Spectral localization, power boundedness and invariant subspaces under Ritt's type condition
• A note about ritt's condition, related resolvent conditions and power bounded operators
• Spectra of composition operators on Fock-type spaces
• Normal and isometric weighted composition operators on the Fock space
• A Condition that lim n→∞ n -1 T n = 0

This page was built for publication: Supercyclicity and resolvent condition for weighted composition operators