SOME NORM INEQUALITIES FOR SOME POSITIVE BLOCK

被引：0
|
作者：
Mhanna, Antoine
机构：
来源：
MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 01期
关键词：
15A60; 15A42; 15B99; 05A18; SEPARABILITY;
D O I：
10.18514/MMN.2023.3801
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We review Lin's inequality of numerical range widths and prove that if M = [X-i,X-j](i,j)(n)=1 is positive semi-definite then circle plus(n)(i=1)(X-i,X-i - Sigma(j not equal i) X-j,X-j) <= M-tau <= I-n circle times Sigma(n)(i=1) X-i,X-i, where M-tau is the partial transpose of M. Some classical results are also discussed in terms of permutations.
引用
收藏
页码：301 / 308
页数：8
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