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
    Fuad Kittaneh
    [J]. Positivity, 2006, 10 : 251 - 260
  • [22] Spectral radius inequalities for positive commutators
    Zima, Miroslawa
    [J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2014, 64 (01) : 1 - 10
  • [23] Some norm inequalities for commutators of contracted tensor products
    Xie, Ze-Jia
    Cheng, Che-Man
    Jin, Xiao-Qing
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 540 : 244 - 256
  • [24] Spectral radius inequalities for positive commutators
    Mirosława Zima
    [J]. Czechoslovak Mathematical Journal, 2014, 64 : 1 - 10
  • [25] NUMERICAL RADIUS INEQUALITIES FOR PRODUCTS AND COMMUTATORS OF OPERATORS
    Abu-Omar, Amer
    Kittaneh, Fuad
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 2015, 41 (04): : 1163 - 1173
  • [26] Further norm inequalities for sums of operators
    Shi, Shuo
    Zhang, Yun
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 658 : 250 - 261
  • [27] Singular value inequalities for commutators of Hilbert space operators
    Kittaneh, Fuad
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2009, 430 (8-9) : 2362 - 2367
  • [28] Numerical Radius Inequalities for Commutators of Hilbert Space Operators
    Hirzallah, Omar
    Kittaneh, Fuad
    Shebrawi, Khalid
    [J]. 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
    Yanping Chen
    Yong Ding
    Kai Zhu
    [J]. Acta Mathematica Scientia, 2022, 42 : 1310 - 1332
  • [30] MULTIPLE WEIGHTED NORM INEQUALITIES FOR COMMUTATORS OF MULTILINEAR CALDERON-ZYGMUND AND POTENTIAL TYPE OPERATORS
    Wang, Panwang
    Liu, Zongguang
    [J]. JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2018, 11 (03): : 211 - 228
12345