FROBENIUS NORM INEQUALITIES OF COMMUTATORS BASED ON DIFFERENT PRODUCTS

被引：2

作者：

Liu, Wei-Hui ^{[1
]}

Xie, Ze-Jia ^{[2
]}

Jin, Xiao-Qing ^{[1
]}

机构：

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

[2] Shantou Univ, Dept Math, Shantou 515063, Peoples R China

来源：

OPERATORS AND MATRICES | 2021年 / 15卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Commutator; Bottcher-Wenzel conjecture; Frobenius norm; Kronecker product; Khatri-Rao product; contracted product; T-product; maximal pair; WENZELS CONJECTURE; BOTTCHER; PROOF; MATRICES;

D O I：

10.7153/oam-2021-15-43

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The difference AB-BA of two matrices A and B is called the commutator (or Lie product). In this paper, we are concerned with inequalities for the Frobenius norm of commutators based on other products, including the Kronecker product, the Khatri-Rao product, the contracted product, and the T-product. We also study the characterization of their corresponding maximal pairs.

引用

页码：645 / 657

页数：13

共 38 条

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Absil PA, 2008, OPTIMIZATION ALGORITHMS ON MATRIX MANIFOLDS, P1

[2]

[Anonymous], 1968, Sankhya: Indian J. Stat. Ser. A (1961-2002)

[3] Variance bounds, with an application to norm bounds for commutators [J].