Properties of Compressed Shifts on Beurling Type Quotient Module of Hardy Space Over the Bidisk

被引：1
|
作者：
Zhu, S. [1 ]
Yang, Y. [1 ]
Lu, Y. [1 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Liaoning, Peoples R China
来源：
ANALYSIS MATHEMATICA | 2022年 / 48卷 / 01期
关键词：
Beurling type quotient module; compressed shift; invariant subspace; OPERATOR-THEORY;
D O I：
10.1007/s10476-021-0105-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the spectrum and the invariant subspace of compressed shifts on the Beurling type quotient module K-theta of Hardy space H-2(D-2). Suppose theta is a rational inner function with degree (1, 1). Firstly, we characterize the spectrum of S-z1 on K-theta; secondly, we characterize the Agler type subspace of the compressed shift.
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页码：227 / 248
页数：22
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