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
  • [41] INEQUALITIES RELATED TO THE ARITHMETIC, GEOMETRIC AND HARMONIC MEANS
    Choi, D.
    Sababheh, M.
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (01): : 1 - 16
  • [42] Norm inequalities for positive definite matrices related to a question of Bourin
    Darweesh, Amer
    Hayajneh, Mostafa
    Hayajneh, Saja
    Kittaneh, Fuad
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (12) : 1933 - 1947
  • [43] Advanced refinements of Young and Heinz inequalities
    Sababheh, M.
    Moslehian, M. S.
    [J]. JOURNAL OF NUMBER THEORY, 2017, 172 : 178 - 199
  • [44] Reverse Young and Heinz inequalities for matrices
    Kittaneh, Fuad
    Manasrah, Yousef
    [J]. LINEAR & MULTILINEAR ALGEBRA, 2011, 59 (09) : 1031 - 1037
  • [45] A family of refinements of Heinz inequalities of matrices
    Hassane Abbas
    Bassam Mourad
    [J]. Journal of Inequalities and Applications, 2014
  • [46] ON IMPROVED ARITHMETIC-GEOMETRIC MEAN AND HEINZ INEQUALITIES FOR MATRICES
    He, Chuanjiang
    Zou, Limin
    Qaisar, Shahid
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2012, 6 (03): : 453 - 459
  • [47] A family of refinements of Heinz inequalities of matrices
    Abbas, Hassane
    Mourad, Bassam
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [48] REFINEMENTS OF THE HEINZ INEQUALITIES FOR OPERATORS AND MATRICES
    Gohari, Mahdi Mohammadi
    Amyari, Maryam
    [J]. MATHEMATICA SLOVACA, 2018, 68 (06) : 1431 - 1438
  • [49] NEW IMPROVEMENT OF HEINZ INEQUALITIES FOR MATRICES
    Feng, Yuming
    [J]. ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, (41): : 42 - 48
  • [50] INEQUALITIES FOR THE FROBENIUS NORM
    Peng, Yang
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (02): : 493 - 498
12345