Self-adjoint, unitary, and isometric weighted composition operators on quaternionic Fock space

被引：2

作者：

Liu, Meicheng ^{[1
]}

Liang, Yuxia ^{[1
]}

Lian, Pan ^{[1
]}

机构：

[1] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2023年 / 17卷 / 02期

关键词：

Quaternionic Fock space; Self-adjointness; Isometry; Unitarity; Weighted composition operator; REGULAR FUNCTIONS; BLOCH;

D O I：

10.1007/s43037-023-00252-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to characterize several important classical properties, such as self-adjointness, unitarity, invertibility, isometry, and involution of weighted composition operators acting on the quaternionic Fock spaces of entire slice regular functions. We particularly show that the unitarity and co-isometry are equivalent for bounded quanternionic weighted composition operators, which are new even on the ordinary complex Fock space.

引用

页数：25

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