Unitarily invariant norm inequalities for some means

被引：1
|
作者：
Furuichi, Shigeru [1 ]
机构：
[1] Nihon Univ, Coll Humanities & Sci, Dept Informat Sci, Setagaya Ku, Tokyo 1568550, Japan
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词：
symmetric homogeneous mean; logarithmic mean; unitarily invariant norm and norm inequality; MATRICES;
D O I：
10.1186/1029-242X-2014-158
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce some symmetric homogeneous means, and then we show unitarily invariant norm inequalities for them, applying the method established by Hiai and Kosaki. Our new inequalities give tighter bounds of the logarithmic mean than the inequalities given by Hiai and Kosaki. Some properties and norm continuities in the parameter for our means are also discussed.
引用
收藏
页数：11
相关论文
共 50 条
  • [21] SOME INEQUALITIES INVOLVING UNITARILY INVARIANT NORMS
    He, Chuanjiang
    Zou, Limin
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (04): : 767 - 776
  • [22] SOME OPERATOR INEQUALITIES FOR UNITARILY INVARIANT NORMS
    Zhao, Jianguo
    Wu, Junliang
    ANNALS OF FUNCTIONAL ANALYSIS, 2017, 8 (02): : 240 - 247
  • [23] Some inequalities for unitarily invariant norms of matrices
    Wang, Shaoheng
    Zou, Limin
    Jiang, Youyi
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [24] Some inequalities for unitarily invariant norms of matrices
    Shaoheng Wang
    Limin Zou
    Youyi Jiang
    Journal of Inequalities and Applications, 2011
  • [25] A NOTE ON SOME INEQUALITIES FOR UNITARILY INVARIANT NORMS
    Xue, Jianming
    Hu, Xingkai
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (03): : 841 - 846
  • [26] On the existence of unitarily invariant norm under some conditions
    Alizadeh, R.
    Esslamzadeh, G. H.
    LINEAR & MULTILINEAR ALGEBRA, 2010, 58 (03): : 367 - 375
  • [27] Singular value and unitarily invariant norm inequalities for sums and products of operators
    Jianguo Zhao
    Advances in Operator Theory, 2021, 6
  • [28] Unitarily invariant norm inequalities for accretive-dissipative operator matrices
    Zhang, Yun
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 412 (01) : 564 - 569
  • [29] Singular value and unitarily invariant norm inequalities for sums and products of operators
    Zhao, Jianguo
    ADVANCES IN OPERATOR THEORY, 2021, 6 (04)
  • [30] On some inequalities for unitarily invariant norms and singular values
    Zou, Limin
    He, Chuanjiang
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (09) : 3354 - 3361
12345