Singular value inequalities for commutators of Hilbert space operators

被引：8
|
作者：
Kittaneh, Fuad [1 ]
机构：
[1] Univ Jordan, Dept Math, Amman, Jordan
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 430卷 / 8-9期
关键词：
Singular value; Commutator; Compact operator; Positive operator; Self-adjoint operator; Normal operator; Unitarily invariant norm; Inequality; SELF-ADJOINT OPERATORS; POSITIVE OPERATORS; WENZELS CONJECTURE; NORM INEQUALITIES; MATRICES; BOTTCHER; PROOF;
D O I：
10.1016/j.laa.2008.12.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove several singular value inequalities for commutators of Hilbert space operators. It is shown, among other inequalities, that if A, B, and X are operators on a complex separable Hilbert space such that A and B are positive, and X is compact, then the singular values of AX - XB are dominated by those of max(parallel to A parallel to, parallel to B parallel to)(X circle plus X) where parallel to (.) parallel to is the usual operator norm. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：2362 / 2367
页数：6
相关论文
共 50 条
  • [41] NOTES ON SOME INEQUALITIES FOR HILBERT-SPACE OPERATORS
    KITTANEH, F
    PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1988, 24 (02) : 283 - 293
  • [42] Norm and numerical radius inequalities for Hilbert space operators
    Moosavi, Baharak
    Hosseini, Mohsen Shah
    JOURNAL OF ANALYSIS, 2023, 31 (02): : 1393 - 1400
  • [43] ON SOME NUMERICAL RADIUS INEQUALITIES FOR HILBERT SPACE OPERATORS
    Ghasvareh, Mahdi
    Omidvar, Mohsen Erfanian
    METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2021, 27 (02): : 192 - 197
  • [44] Numerical Radius Inequalities for Products of Hilbert Space Operators
    Hosseini, M. Shah
    Moosavi, B.
    JOURNAL OF MATHEMATICAL EXTENSION, 2022, 16 (12)
  • [45] REFINEMENTS AND REVERSES OF MEANS INEQUALITIES FOR HILBERT SPACE OPERATORS
    Hirzallah, Omar
    Kittaneh, Fuad
    Krnic, Mario
    Lovricevic, Neda
    Pecaric, Josip
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2013, 7 (02): : 15 - 29
  • [46] Inequalities for sums and direct sums of Hilbert space operators
    Hirzallah, Omar
    Kittaneh, Fuad
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2007, 424 (01) : 71 - 82
  • [47] NUMERICAL RADIUS INEQUALITIES FOR PRODUCTS OF HILBERT SPACE OPERATORS
    Abu-Omar, Amer
    Kittaneh, Fuad
    JOURNAL OF OPERATOR THEORY, 2014, 72 (02) : 521 - 527
  • [48] Some norm inequalities for accretive Hilbert space operators
    Moosavi, Baharak
    Hosseini, Mohsen Shah
    CUBO-A MATHEMATICAL JOURNAL, 2024, 26 (02): : 327 - 340
  • [49] Norm and numerical radius inequalities for Hilbert space operators
    Baharak Moosavi
    Mohsen Shah Hosseini
    The Journal of Analysis, 2023, 31 : 1393 - 1400
  • [50] REFINING NUMERICAL RADIUS INEQUALITIES OF HILBERT SPACE OPERATORS
    Khorasani, Mohammad Ali Shiran
    Heydarbeygi, Zahra
    MATEMATICKI VESNIK, 2023, 75 (01): : 50 - 57
12345