Dynamics of weighted composition operators and their adjoints on the Fock space
Peer reviewed, Journal article
Published version
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https://hdl.handle.net/11250/3021727Utgivelsesdato
2022Metadata
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Originalversjon
Mengestie, T. (2022). Dynamics of weighted composition operators and their adjoints on the Fock space. Complex Analysis and Operator Theory, 16(2). 10.1007/s11785-022-01204-zSammendrag
We study the cyclic structures of the weighted composition operators and their adjoints on the Fock space F2. A complete characterization of cyclicity which depends on the derivative of the symbol for the composition operator and non-vanishing structure of the weight function is provided. It is further shown that the space fails to support supercyclic adjoint weighted composition operators. As a tool in proving our main results, we also identified eigenvectors of the weighted composition operators in the space which is interest of its own.