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.
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.
作者
刘美成
梁玉霞
LIU Mei-cheng;LIANG Yu-xia(School of Mathematical Science,Tianjin Normal University,Tianjin 300387,China)
出处
《数学杂志》
2023年第2期151-158,共8页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(11701422).
关键词
复合算子
四元数福克空间
再生核
自伴性
余等距
composition operator
quaternionic Fock space
reproducing kernels
self-adjointness
co-isometry
