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

被引：3
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.
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页数：25
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