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
Published in:Complex variables and elliptic equations 2018-03, Vol.63 (3), p.391-405
Main Authors: Hai, Pham Viet, Khoi, Le Hai
Format: Article
Language:English
Subjects:
32A15
complex symmetry
conjugation
Fock space
Operators
several complex variables
weighted composition operator
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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 .
ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2017.1315108