A note on an inequality involving Jordan product in Euclidean Jordan algebras

被引:0
|
作者
Guoqiang Wang
Jiyuan Tao
Lingchen Kong
机构
[1] Shanghai University of Engineering Science,College of Fundamental Studies
[2] Loyola University Maryland,Department of Mathematics and Statistics
[3] Beijing Jiaotong University,Department of Applied Mathematics
来源
Optimization Letters | 2016年 / 10卷
关键词
Euclidean Jordan algebra; Majorization;
D O I
暂无
中图分类号
学科分类号
摘要
In a most recent paper, Yang et al. (Appl Math Comput 230:616–628, 2014) proved an important inequality on a simple Euclidean Jordan algebra by using a case-by-case analysis. In this paper, we improve this inequality in any Euclidean Jordan algebras and the proof is not based on a case-by-case analysis.
引用
收藏
页码:731 / 736
页数:5
相关论文
共 50 条
  • [1] A note on an inequality involving Jordan product in Euclidean Jordan algebras
    Wang, Guoqiang
    Tao, Jiyuan
    Kong, Lingchen
    OPTIMIZATION LETTERS, 2016, 10 (04) : 731 - 736
  • [2] Jordan automorphic generators of Euclidean Jordan algebras
    Kim, J
    Lim, Y
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2006, 43 (03) : 507 - 528
  • [3] A Lie product type formula in Euclidean Jordan algebras
    Tao, Jiyuan
    SPECIAL MATRICES, 2016, 4 (01): : 255 - 261
  • [4] A Holder type inequality and an interpolation theorem in Euclidean Jordan algebras
    Gowda, M. Seetharama
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 474 (01) : 248 - 263
  • [5] AN ANALOG OF THOMPSON'S TRIANGLE INEQUALITY IN EUCLIDEAN JORDAN ALGEBRAS
    Tao, J.
    ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2021, 37 : 156 - 159
  • [6] A Fiedler-type determinantal inequality in Euclidean Jordan algebras
    Sossa, David
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 667 : 151 - 164
  • [7] PSEUDO-EUCLIDEAN JORDAN ALGEBRAS
    Baklouti, Amir
    Benayadi, Said
    COMMUNICATIONS IN ALGEBRA, 2015, 43 (05) : 2094 - 2123
  • [8] Spectral cones in Euclidean Jordan algebras
    Jeong, Juyoung
    Gowda, M. Seetharama
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 509 : 286 - 305
  • [9] Composites and Categories of Euclidean Jordan Algebras
    Barnum, Howard
    Graydon, Matthew A.
    Wilce, Alexander
    QUANTUM, 2020, 4
  • [10] Sparse recovery on Euclidean Jordan algebras
    Kong, Lingchen
    Sun, Jie
    Tao, Jiyuan
    Xiu, Naihua
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 465 : 65 - 87