Norm inequalities for commutators of positive operators and applications

被引：26
作者：
Kittaneh, Fuad [1 ]
机构：
[1] Univ Jordan, Dept Math, Amman, Jordan
来源：
MATHEMATISCHE ZEITSCHRIFT | 2008年 / 258卷 / 04期
关键词：
commutator; positive operator; norm inequality;
D O I：
10.1007/s00209-007-0201-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X, Y, and Z be operators on a Hilbert space such that X and Z are positive. It is shown that parallel to XY-YZ parallel to <= max (parallel to X parallel to, parallel to Z parallel to)parallel to Y parallel to. Applications of this commutator inequality are given.
引用
收藏
页码：845 / 849
页数：5
相关论文
共 50 条
[21]   Norm Inequalities for Sums of Positive Operators. II [J].
Fuad Kittaneh .
Positivity, 2006, 10 :251-260
[22]   Spectral radius inequalities for positive commutators [J].
Zima, Miroslawa .
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2014, 64 (01) :1-10
[23]   Some norm inequalities for commutators of contracted tensor products [J].
Xie, Ze-Jia ;
Cheng, Che-Man ;
Jin, Xiao-Qing .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 540 :244-256
[24]   Spectral radius inequalities for positive commutators [J].
Mirosława Zima .
Czechoslovak Mathematical Journal, 2014, 64 :1-10
[25]   NUMERICAL RADIUS INEQUALITIES FOR PRODUCTS AND COMMUTATORS OF OPERATORS [J].
Abu-Omar, Amer ;
Kittaneh, Fuad .
HOUSTON JOURNAL OF MATHEMATICS, 2015, 41 (04) :1163-1173
[26]   Further norm inequalities for sums of operators [J].
Shi, Shuo ;
Zhang, Yun .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 658 :250-261
[27]   Singular value inequalities for commutators of Hilbert space operators [J].
Kittaneh, Fuad .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (8-9) :2362-2367
[28]   Numerical Radius Inequalities for Commutators of Hilbert Space Operators [J].
Hirzallah, Omar ;
Kittaneh, Fuad ;
Shebrawi, Khalid .
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (07) :739-749
[29]   Weighted Norm Inequalities for Commutators of the Kato Square Root of Second Order Elliptic Operators on ℝn [J].
Yanping Chen ;
Yong Ding ;
Kai Zhu .
Acta Mathematica Scientia, 2022, 42 :1310-1332
[30]   MULTIPLE WEIGHTED NORM INEQUALITIES FOR COMMUTATORS OF MULTILINEAR CALDERON-ZYGMUND AND POTENTIAL TYPE OPERATORS [J].
Wang, Panwang ;
Liu, Zongguang .
JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2018, 11 (03) :211-228
12345