THE SCHATTEN p-NORM ON Rn

被引：0
|
作者：
Huang, Chien-Hao [1 ]
Chen, Jein-Shan [2 ]
Hu, Chu-Chin [2 ]
机构：
[1] Wenzao Ursuline Univ Languages, Gen Educ Ctr, Kaohsiung 80793, Taiwan
[2] Natl Taiwan Normal Univ, Dept Math, Taipei 11677, Taiwan
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2020年 / 21卷 / 01期
关键词：
Schatten p-norm; Euclidean Jordan algebra; second-order cone; MONOTONE; CONVEX;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is well known that the Schatten p-norm defined on the space of matrices is useful and possesses nice properties. In this paper, we explore the concept of Schatten p-norm on R-n via the structure of Euclidean Jordan algebra. Two types of Schatten p-norm on R-n are defined and the relationship between these two norms is also investigated.
引用
收藏
页码：21 / 29
页数：9
相关论文
共 50 条
  • [1] INEQUALITIES FOR THE SCHATTEN P-NORM .4.
    KITTANEH, F
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 106 (04) : 581 - 585
  • [2] On Schatten p-norm of the distance matrices of graphs
    Rather, Bilal Ahmad
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2023, 54 (04): : 1012 - 1024
  • [3] Refinement of triangle inequality for the Schatten p-norm
    Al-Natoor, Ahmad
    Audeh, Wasim
    ADVANCES IN OPERATOR THEORY, 2020, 5 (04) : 1635 - 1645
  • [4] INEQUALITIES FOR THE SCHATTEN P-NORM .2.
    KITTANEH, F
    GLASGOW MATHEMATICAL JOURNAL, 1987, 29 : 99 - 104
  • [5] On Schatten p-norm of the distance matrices of graphs
    Bilal Ahmad Rather
    Indian Journal of Pure and Applied Mathematics, 2023, 54 : 1012 - 1024
  • [6] BEST APPROXIMATION OF A NORMAL OPERATOR IN THE SCHATTEN P-NORM
    BOULDIN, R
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1980, 80 (02) : 277 - 282
  • [7] Robust Regression with Nonconvex Schatten p-Norm Minimization
    Zeng, Deyu
    Yin, Ming
    Xie, Shengli
    Wu, Zongze
    NEURAL INFORMATION PROCESSING (ICONIP 2018), PT II, 2018, 11302 : 498 - 508
  • [8] Schatten p-Norm and Numerical Radius Inequalities with Applications
    Bhunia, Pintu
    Sahoo, Satyajit
    RESULTS IN MATHEMATICS, 2025, 80 (01)
  • [9] SCHATTEN p-NORM RELATED TO SOME TRANSFORMS OF OPERATORS
    Altwaijry, Najla
    Conde, Cristian
    Feki, Kais
    Stankovic, Hranislav
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2024, 23 (12) : 1990 - 2004
  • [10] Schatten p-norm based principal component analysis
    Chang, Heyou
    Luo, Lei
    Yang, Jian
    Yang, Meng
    NEUROCOMPUTING, 2016, 207 : 754 - 762
12345