Weighted Composition Operators on the Symmetric Fock Space
Received:July 01, 2020  Revised:April 06, 2021
Key Word: symmetric Fock space   weighted composition operator   anti-linear weighted composition operator  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11771401), Shanxi Scholarship Council of China (Grant No.2020-089) and Fund Program for the Scientific Activities of Selected Returned Overseas Professionals in Shanxi Province (Grant No.20200019).
Author NameAffiliation
Changbao PANG School of Mathematics and Computer Science, Shanxi Normal University, Shanxi 041004, P. R. China 
Jin LI School of Mathematics and Computer Science, Shanxi Normal University, Shanxi 041004, P. R. China 
Shasha LI School of Mathematics and Computer Science, Shanxi Normal University, Shanxi 041004, P. R. China 
Liankuo ZHAO 山西师范大学数学与计算机科学学院, 山西 临汾 041004 
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Abstract:
      In this paper, we study bounded (linear and anti-linear) weighted composition operators on the symmetric Fock space over a separable Hilbert space. The unitary and self-adjoint weighted composition operators are characterized completely. A class of normal weighted composition operators is considered.
Citation:
DOI:10.3770/j.issn:2095-2651.2021.06.004
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