Linear operators preserving directional majorization

被引:27
|
作者
Li, CK
Poon, E
机构
[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA
[2] Univ Toronto, Dept Math, Toronto, ON M5S 1A1, Canada
基金
美国国家科学基金会;
关键词
linear operator; directional majorization; multivariate majorization;
D O I
10.1016/S0024-3795(00)00328-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A characterization of linear operators preserving directional majorization is given. The result extends a theorem of T. Ando [Linear Algebra Appl. 118 (1989) 163], and the proof also gives the characterization of linear operators preserving multivariate: majorization recently obtained by Beasley and Lee. (C) 2001 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:141 / 146
页数:6
相关论文
共 50 条
  • [21] Linear Functions Preserving Sut-Majorization on R-n
    Manesh, Asma Ilkhanizadeh
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2016, 11 (02): : 111 - 118
  • [22] On Almost Interval Preserving Linear Operators
    Z. A. Kusraeva
    Siberian Mathematical Journal, 2022, 63 : 909 - 919
  • [23] LINEAR MAPS PRESERVING AN-OPERATORS
    Golla, Ramesh
    Osaka, Hiroyuki
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (04) : 831 - 838
  • [24] Form preserving linear integral operators
    Lu, TT
    Chen, SS
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1996, 31 (08) : 117 - 134
  • [25] LINEAR MAPS PRESERVING IDEMPOTENT OPERATORS
    Taghavi, Ali
    Hosseinzadeh, Roja
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (04) : 787 - 792
  • [26] Linear operators preserving correlation matrices
    Li, CK
    Pierce, S
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (01) : 55 - 63
  • [27] MAJORIZATION AND NORMALITY OF OPERATORS
    RADJABALIPOUR, M
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 62 (01) : 105 - 110
  • [28] MAJORIZATION OF STARLIKE AND CONVEX FUNCTIONS OF COMPLEX ORDER INVOLVING LINEAR OPERATORS
    Murugusundaramoorthy, G.
    Thilagavathi, K.
    MATHEMATICA SLOVACA, 2016, 66 (01) : 127 - 134
  • [29] Directions of directional, ordered directional and strengthened ordered directional increasingness of linear and ordered linear fusion operators
    Sesma-Sara, Mikel
    Marco-Detchart, Cedric
    Lafuente, Julio
    Roldan, Antonio
    Mesiar, Radko
    Bustince, Humberto
    2018 IEEE SYMPOSIUM SERIES ON COMPUTATIONAL INTELLIGENCE (IEEE SSCI), 2018, : 434 - 440
  • [30] Directional texture preserving total variation regularization based image denoising and majorization minimization algorithm
    School of Computer Science and Engineering, Nanjing University of Science and Technology, Nanjing
    Jiangsu
    210094, China
    不详
    Jiangsu
    210094, China
    不详
    Guangxi
    545006, China
    Tien Tzu Hsueh Pao, 11 (2205-2212):