Equality of higher-rank numerical ranges of matrices

被引：6

作者：

Chang, Chi-Tung ^{[1
]}

Gau, Hwa-Long ^{[2
]}

Wang, Kuo-Zhong ^{[3
]}

机构：

[1] Feng Chia Univ, Dept Appl Math, Taichung 40724, Taiwan

[2] Natl Cent Univ, Dept Math, Chungli 32054, Taiwan

[3] Natl Chiao Tung Univ, Dept Appl Math, Hsinchu, Taiwan

来源：

LINEAR & MULTILINEAR ALGEBRA | 2014年 / 62卷 / 05期

关键词：

15A60; higher-rank numerical range; numerical range; compression; principal submatrix;

D O I：

10.1080/03081087.2013.811500

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let denote the rank- numerical range of an -by- complex matrix . We give a characterization for , where , via the compressions and the principal submatrices of . As an application, the matrix satisfying , where is the classical numerical range of and , is under consideration. We show that if for some , then is unitarily similar to , where is a 2-by-2 matrix, is a -by- matrix and .

引用

页码：626 / 638

页数：13

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