四元数福克空间上的自伴与余等距复合算子  

SELF-ADJOINT AND CO-ISOMETRIC COMPOSITION OPERATOR ON 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)

机构地区：[1]天津师范大学数学科学学院,天津300387

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).

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.

关 键 词：复合算子 四元数福克空间 再生核 自伴性 余等距 

分 类 号：O177.1[理学—数学]