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.

引用

页码：227 / 248

页数：22