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

页码：1077 / 1081

页数：5

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