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四元数福克空间上的自伴与余等距复合算子

刘美成 梁玉霞

数学杂志2023,Vol.43Issue(2):151-158,8.
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

刘美成 1梁玉霞1

作者信息

  • 1. 天津师范大学数学科学学院,天津300387
  • 折叠

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)

数学杂志

OACSTPCD

0255-7797

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