| 对称Fock空间上的加权复合算子 |
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| 引用本文： | 庞长保,李进,李莎莎,赵连阔.对称Fock空间上的加权复合算子[J].数学研究及应用,2021,41(6):594-606. |
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| 作者姓名： | 庞长保 李进 李莎莎 赵连阔 |
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| 作者单位： | 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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| 基金项目： | 国家自然科学基金(Grant No.11771401),山西省回国留学人员科研资助项目(Grant No.2020-089),山西省留学回国人员科技活动择优资助项目(Grant No.20200019). |
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| 摘 要： | 本文研究了可分Hilbert空间上的对称Fock空间上有界(线性和反线性)加权复合算子. 完全刻画了酉加权复合算子和自伴加权复合算子, 并考虑了一类正规加权复合算子.
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| 关 键 词： | 对称Fock空间 加权复合算子 反线性加权复合算子 |
| 收稿时间： | 2020/7/1 0:00:00 |
| 修稿时间： | 2021/4/6 0:00:00 |
Weighted Composition Operators on the Symmetric Fock Space |
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| Changbao PANG,Jin LI,Shasha LI,Liankuo ZHAO.Weighted Composition Operators on the Symmetric Fock Space[J].Journal of Mathematical Research with Applications,2021,41(6):594-606. |
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| Authors: | Changbao PANG Jin LI Shasha LI Liankuo ZHAO |
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| Institution: | School of Mathematics and Computer Science, Shanxi Normal University, Shanxi 041004, P. R. China |
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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. |
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| Keywords: | symmetric Fock space weighted composition operator anti-linear weighted composition operator |
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