Some sharp bounds for the commutator of real matrices

被引：8

作者：

Cheng, Che-Man ^{[1
]}

Liang, Yaru ^{[1
]}

机构：

[1] Univ Macau, Dept Math, Macau, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2017年 / 521卷

关键词：

Schatten p-norm; Commutator; Norm inequality; CONJECTURE; BOTTCHER;

D O I：

10.1016/j.laa.2017.01.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine, for some values of p, q, r, the smallest constant C-p,q,r(R) such that parallel to XY - YX parallel to(p) <= C-p,q,r(R) parallel to X parallel to(q) parallel to Y parallel to(r) for all real square matrices X and Y, where parallel to center dot parallel to(p)denotes the Schatten p-norm. (C) 2017 Elsevier Inc. All rights reserved.

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收藏

页码：263 / 282

页数：20

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