Positive block matrices and numerical ranges

被引：16
|
作者：
Bourin, Jean-Christophe [1 ]
Mhanna, Antoine [1 ]
机构：
[1] Univ Bourgogne Franche Comte, Lab Math Besancon, CNRS UMR 6623, 16 Route Gray, F-25030 Besancon, France
来源：
COMPTES RENDUS MATHEMATIQUE | 2017年 / 355卷 / 10期
关键词：
NORM INEQUALITIES; OPERATORS;
D O I：
10.1016/j.crma.2017.10.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Any positive matrix Mpartitioned in four n-by-n blocks satisfies the unitarily invariant norm inequality parallel to M parallel to <= parallel to M1,1 + M2,2 + omega I parallel to, where omega is the width of the numerical range of M1,2. Some related inequalities and a reverse Lidskii majorization are given. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS. This is an open access article under the CC BY-NC-ND license.
引用
收藏
页码：1077 / 1081
页数：5
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