New characterizations of operator monotone functions

被引:0
|
作者
Vo, Bich Khue [1 ]
Dinh, Trung Hoa [2 ]
Osaka, Hiroyuki [3 ]
机构
[1] Univ Finance & Mkt, Dept Fundamental Sci, Ho Chi Minh City, Vietnam
[2] Troy Univ, Dept Math & Stat, Troy, AL 36072 USA
[3] Ritsumeikan Univ, Dept Math Sci, Kusatsu, Shiga 5258577, Japan
来源
ACTA SCIENTIARUM MATHEMATICARUM | 2024年 / 90卷 / 3-4期
关键词
Kubo-Ando means; Scalar means; Operator monotone functions; Mean inequalities;
D O I
10.1007/s44146-024-00167-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we establish some new characterizations of operator monotone functions using matrix mean inequalities.
引用
收藏
页码:623 / 636
页数:14
相关论文
共 50 条
  • [1] New characterizations of operator monotone functions
    Trung Hoa Dinh
    Dumitru, Raluca
    Franco, Jose A.
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2018, 546 : 169 - 186
  • [2] Matrix power means and new characterizations of operator monotone functions
    Dinh, Trung Hoa
    Le, Cong Trinh
    Nguyen, The Van
    Vo, Bich Khue
    LINEAR & MULTILINEAR ALGEBRA, 2023, 71 (18): : 2986 - 2997
  • [3] New inequalities for operator monotone functions
    Dragomir, Silvestru Sever
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2021, 48 (01): : 137 - 145
  • [4] Characterizations of Positive Operator-Monotone Functions and Monotone Riemannian Metrics via Borel Measures
    Chansangiam, Pattrawut
    Sabau, Sorin, V
    MATHEMATICS, 2019, 7 (12)
  • [5] A new class of operator monotone functions via operator means
    Pal, Rajinder
    Singh, Mandeep
    Moslehian, Mohammad Sal
    Aujla, Jaspal Singh
    LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (12): : 2463 - 2473
  • [6] On Operator Monotone and Operator Convex Functions
    Bikchentaev, A. M.
    RUSSIAN MATHEMATICS, 2016, 60 (05) : 61 - 65
  • [7] On characterization of operator monotone functions
    Dinh Trung Hoa
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 487 : 260 - 267
  • [8] EXTENSIONS OF MONOTONE OPERATOR FUNCTIONS
    CHANDLER, JD
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 54 (JAN) : 221 - 224
  • [9] Around Operator Monotone Functions
    Moslehian, Mohammad Sal
    Najafi, Hamed
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2011, 71 (04) : 575 - 582
  • [10] SOME OPERATOR MONOTONE FUNCTIONS
    PEDERSEN, GK
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 36 (01) : 309 - 310