Some norm inequalities for commutators of contracted tensor products

被引：2
作者：
Xie, Ze-Jia [1 ]
Cheng, Che-Man [2 ]
Jin, Xiao-Qing [2 ]
机构：
[1] Dongguan Univ Technol, Dept Math & Data Sci, Dongguan 523808, Peoples R China
[2] Univ Macau, Dept Math, Macau, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2018年 / 540卷
关键词：
Contracted product; Matricization; Tensor; Norm inequality; Commutator; WENZELS CONJECTURE; FROBENIUS NORM; MATRICES; BOTTCHER; PROOF;
D O I：
10.1016/j.laa.2017.11.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper concerns generalizations of the Bottcher Wenzel inequality to contracted products of tensors. We show that the best constant in the inequality is as expected in some cases and present an example where the best constant is larger than expected. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：244 / 256
页数：13
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