Some inequalities for central moments of matrices

被引：5
|
作者：
Leka, Zoltan [1 ,2 ]
机构：
[1] Budapest Business Sch, Buozogany U 11-13, H-1149 Budapest, Hungary
[2] Univ London, Royal Holloway, Egham TW20 0EX, Surrey, England
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 496卷
基金：
匈牙利科学研究基金会;
关键词：
Variance; Standard deviation; Central moments; Density matrix; Extreme point; Spread; POSITIVE LINEAR-MAPS; LOWER BOUNDS; SPREADS;
D O I：
10.1016/j.laa.2016.01.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we shall study non-commutative central moment inequalities with a focus on whether the commutative bounds are tight in the non-commutative case as well. We prove that the answer is affirmative for the fourth central moment and several particular results are given in the general case. As an application, we shall present some lower estimates of the spread of Hermitian and normal matrices as well. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：246 / 261
页数：16
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