Some inequalities for central moments of matrices

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• 作者：Zoltá ; n Lé ; ka¹ ; ^{zoltan.leka@rhul.ac.uk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 47A63 ; 47C15 ; 46L53 ; secondary ; 15A60 ; 60B99
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：1 May 2016
• 年：2016
• 卷：496
• 期：Complete
• 页码：246-261
• 全文大小：336 K

文摘

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.