| 摘要: |
| 本文研究了四元数福克空间上自伴与余等距复合算子的性质.利用再生核的稠密性，获得了自伴与余等距复合算子充要条件的刻画，并得到了四元数福克空间上余等距复合算子是酉的. |
| 关键词: 复合算子 四元数福克空间 再生核 自伴性 余等距 |
| DOI： |
| 分类号:O177.1 |
| 基金项目:Supported by National Natural Science Foundation of China(11701422). |
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| SELF-ADJOINT AND CO-ISOMETRIC COMPOSITION OPERATOR ON QUATERNIONIC FOCK SPACE |
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LIU Mei-cheng, LIANG Yu-xia
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School of Mathematical Science, Tianjin Normal University, Tianjin 300387, China
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| Abstract: |
| In this paper, the properties of self-adjoint and co-isometric composition operators on the quaternionic Fock space are studied. In combination with the density of reproducing kernels, we obtain the characterizations of the necessary and sufficient conditions for self-adjoint and co-isometric composition operators, and we get the co-isometric composition operator is unitary on the quaternionic Fock space. |
| Key words: composition operator quaternionic Fock space reproducing kernels selfadjointness co-isometry |
