Algebraic Properties of Toeplitz Operators on the Symmetrized Polydisk

被引：2
|
作者：
Krishna Das, B. [1 ]
Sau, Haripada [2 ]
机构：
[1] Indian Inst Technol, Dept Math, Mumbai 400076, Maharashtra, India
[2] Indian Inst Sci Educ & Res, Dept Math, Dr Homi Bhabha Rd, Pune 411008, Maharashtra, India
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2021年 / 15卷 / 03期
关键词：
Symmetrized polydisk; Toeplitz operator; Commutant lifting theorem; BERGMAN SPACES; GEOMETRY;
D O I：
10.1007/s11785-021-01108-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is an effort to continue the legacy of the classically successful theory of Toeplitz operators on the Hardy space over the unit disk to a new domain in C-d-the symmetrized polydisk. We obtain algebraic characterizations of Toeplitz operators, analytic Toeplitz operators, compact perturbation of Toeplitz operators and dual Toeplitz operators. We then revisit the operator theory of this domain considered first in Biswas and Shyam Roy (J Funct Anal 266:6224-6255, 2014), to study the generalized Toeplitz operators and find a commutant lifting type result.
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页数：28
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