Complex symmetric weighted composition operators on the Fock space in several variables

We characterize all selfadjoint as well as all unitary anti-linear weighted composition operators acting on the Fock space . Then we obtain a complete description of anti-linear weighted composition operators that are conjugations. These results allow us to determine which bounded linear weighted co...

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Bibliographic Details
Main Authors: Hai, Pham Viet, Khoi, Le Hai
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2019
Subjects:
Online Access:https://hdl.handle.net/10356/79480
http://hdl.handle.net/10220/50354
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Institution: Nanyang Technological University
Language: English
Description
Summary:We characterize all selfadjoint as well as all unitary anti-linear weighted composition operators acting on the Fock space . Then we obtain a complete description of anti-linear weighted composition operators that are conjugations. These results allow us to determine which bounded linear weighted composition operators can be complex symmetric on the Fock space .