数学杂志2023,Vol.43Issue(2):151-158,8.
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
摘要
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 ker-nels,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Key words
composition operator/quaternionic Fock space/reproducing kernels/self-adjointness/co-isometry分类
数理科学引用本文复制引用
刘美成,梁玉霞..四元数福克空间上的自伴与余等距复合算子[J].数学杂志,2023,43(2):151-158,8.基金项目
Supported by National Natural Science Foundation of China(11701422). (11701422)