Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598689 | Linear Algebra and its Applications | 2016 | 16 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Zoltán Léka,