| Weighted Composition Operators on the Symmetric Fock Space |
| Received:July 01, 2020 Revised:April 06, 2021 |
| Key Words:
symmetric Fock space weighted composition operator anti-linear weighted composition operator
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| Fund Project: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 Name | Affiliation | | 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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