The reducibility of C0(2) operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:482

Article

Zhu, Senhua¹  Yang, Yixin¹  Li, Ran²  Lu, Yufeng¹ 

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China

关键词: C-0(2) operator;    Characteristic function;    Reducibility;   

DOI  :  10.1016/j.jmaa.2019.123570

来源: Elsevier

【 摘 要 】

In this paper, we give a necessary and sufficient condition for the reducibility of a C-0(2) operator by using its characteristic function. Moreover, we obtain the number of reducing subspaces of a C-0(2) operator. As an application, we will restudy the reducibility of the truncated Toeplitz operator A(z)(2) (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free