NORM EQUALITIES AND INEQUALITIES FOR TRIDIAGONAL PERTURBED TOEPLITZ OPERATOR MATRICES

被引：2
|
作者：
Wang, Jiajie [1 ]
Zheng, Yanpeng [2 ]
Jiang, Zhaolin [1 ]
机构：
[1] Linyi Univ, Sch Math & Stat, Linyi 276000, Peoples R China
[2] Linyi Univ, Sch Automat & Elect Engn, Linyi 276000, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Tridiagonal perturbed Toeplitz operator matrix; unitarily invari-ant norm; equality; inequality; CLARKSON INEQUALITIES; N-TUPLES; INVERSES; DETERMINANTS; EIGENPAIRS; MODEL;
D O I：
10.11948/20210489
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Tridiagonal perturbed Toeplitz operator matrices is a class of im-portant structured matrices. In this paper, we present several norm equalities and inequalities for this class of matrices. The special norms we consider include the usual operator norm and the Schatten p-norms. Moreover, pinch-ing type inequalities are also discussed for general weakly unitarily invari-ant norms. The proofs feature the special structure of tridiagonal perturbed Toeplitz operator matrices.
引用
收藏
页码：671 / 683
页数：13
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