Norm inequalities related to the Heinz means

被引：0
作者：
Gao, Fugen [1 ]
Ma, Xuedi [1 ]
机构：
[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年
基金：
中国国家自然科学基金;
关键词：
Norm inequalities; Contractive maps; Unitarily invariant norm; UNITARILY-INVARIANT NORMS; OPERATORS; MATRICES;
D O I：
10.1186/s13660-018-1892-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let be a two-sided ideal of operators equipped with a unitarily invariant norm . We generalize the results of Kapil's, using a new contractive map in I to obtain a norm inequality. And we give a new inequality, which is a comparison between the Heinz means and other related inequalities; moreover, we will obtain some correlative conclusions.
引用
收藏
页数：7
相关论文
共 50 条
  • [21] ON A CONJECTURE RELATED TO THE GEOMETRIC MEAN AND NORM INEQUALITIES
    Freewan, ShaimA'A
    Hayajneh, Mostafa
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2024, 27 (01): : 193 - 200
  • [22] Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators
    Kittaneh, Fuad
    Krnic, Mario
    Lovricevic, Neda
    Pecaric, Josip
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2012, 80 (3-4): : 465 - 478
  • [23] Refinements of the Heinz inequalities
    Yuming Feng
    Journal of Inequalities and Applications, 2012
  • [24] Norm inequalities for matrix geometric means of positive definite matrices
    Fujii, Jun Ichi
    Seo, Yuki
    Yamazaki, Takeaki
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (03) : 512 - 526
  • [25] Contractive maps on operator ideals and norm inequalities
    Kapil, Yogesh
    Singh, Mandeep
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 459 : 475 - 492
  • [26] SOME INEQUALITIES RELATED TO p-SCHATTEN NORM
    Gao, Fugen
    Tian, Mengyu
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (02): : 339 - 345
  • [27] Norm inequalities related to p-Schatten class
    Conde, Cristian
    Moslehian, Mohammad Sal
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 498 : 441 - 449
  • [28] AN OPERATOR EXTENSION OF THE PARALLELOGRAM LAW AND RELATED NORM INEQUALITIES
    Moslehian, Mohammad Sal
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2011, 14 (03): : 717 - 725
  • [29] Norm inequalities related to the arithmetic–geometric mean inequalities for positive semidefinite matrices
    Mostafa Hayajneh
    Saja Hayajneh
    Fuad Kittaneh
    Positivity, 2018, 22 : 1311 - 1324
  • [30] Extensions of the arithmetic-geometric means and Young's norm inequalities to accretive operators, with applications
    Jocic, Danko R.
    Krtinic, Dorde
    Lazarevic, Milan
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (20) : 4835 - 4875
12345