GENERALIZED REVERSE CAUCHY INEQUALITY AND APPLICATIONS TO OPERATOR MEANS

被引：1
|
作者：
Osaka, Hiroyuki [1 ]
Tsurumi, Yukihiro [1 ]
Wada, Shuhei [2 ]
机构：
[1] Ritsumeikan Univ, Dept Math Sci, Kusatsu, Shiga 5258577, Japan
[2] Kisarazu Coll, Natl Inst Technol, Dept Informat & Comp Engn, Kisarazu Chiba 2920041, Japan
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2018年 / 12卷 / 04期
关键词：
Operator means; operator monotone functions; reverse Cauchy inequality;
D O I：
10.7153/jmi-2018-12-79
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let sigma be an operator mean in the sense of Kubo-Ando and let del(alpha) a be a weighted arithmetric mean. If Tr(A sigma B) >= Tr(A del B-alpha - max{alpha, 1 - alpha}vertical bar A - B vertical bar) holds for all positive semidefinite matrices A,B, then there exists beta is an element of [0,1] such that sigma = del(beta) .
引用
收藏
页码：1029 / 1039
页数：11
相关论文
共 23 条
  • [1] A generalized reverse Cauchy inequality for matrices
    Dinh Trung Hoa
    Vo Thi Bich Khue
    Osaka, Hiroyuki
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (07) : 1415 - 1423
  • [2] On a weighted Hermite-Hadamard inequality in operator variables with applications for weighted operator means
    Raissouli, Mustapha
    Tarik, Lahcen
    Chergui, Mohamed
    FILOMAT, 2024, 38 (17) : 5971 - 5982
  • [3] New generalized inequalities using arbitrary operator means and their duals
    Nasiri, Leila
    Bakherad, Mojtaba
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2021, 48 (01): : 1 - 9
  • [4] Functions preserving operator means
    Trung Hoa Dinh
    Osaka, Hiroyuki
    Wada, Shuhei
    ANNALS OF FUNCTIONAL ANALYSIS, 2020, 11 (04) : 1203 - 1219
  • [5] Functions preserving operator means
    Trung Hoa Dinh
    Hiroyuki Osaka
    Shuhei Wada
    Annals of Functional Analysis, 2020, 11 : 1203 - 1219
  • [6] On the Polya-Szego operator inequality
    Trung Hoa Dinh
    Moradi, Hamid Reza
    Sababheh, Mohammad
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (05): : 1744 - 1752
  • [7] Some Operator Inequalities for Operator Means and Positive Linear Maps
    Zhao, Jianguo
    FILOMAT, 2019, 33 (12) : 3751 - 3758
  • [8] Sharp inequalities for some operator means
    Drissi, Driss
    SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2006, 28 (03) : 822 - 828
  • [9] OPERATOR MEANS IN JB-ALGEBRAS
    Wang, Shuzhou
    Wang, Zhenhua
    REPORTS ON MATHEMATICAL PHYSICS, 2021, 88 (03) : 383 - 398
  • [10] AN INEQUALITY FOR EXPECTATION OF MEANS OF POSITIVE RANDOM VARIABLES
    Gibilisco, Paolo
    Hansen, Frank
    ANNALS OF FUNCTIONAL ANALYSIS, 2017, 8 (01): : 142 - 151
123