Linear preservers of weak majorization on l1(I)+, when I is an infinite set

被引：15
|
作者：
Ljubenovic, Martin [1 ]
Djordjevic, Dragan S. [2 ]
机构：
[1] Univ Nis, Fac Mech Engn, Dept Math, Aleksandra Medvedeva 14, Nish 18000, Serbia
[2] Univ Nis, Fac Sci & Math, Dept Math, POB 224, Nish 18000, Serbia
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2017年 / 517卷
关键词：
Weak majorization; Linear preserver; Doubly substochastic operator; Partial permutation; SCHUR-HORN THEOREM; OPERATORS;
D O I：
10.1016/j.laa.2016.12.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The necessary and sufficient conditions that a bounded linear map on the Banach space l(1)(I), may be considered as a linear preserver of weak majorization on l(1)(I)(+), where I is an arbitrary infinite set, are given. Also, we prove that the set of all linear preservers of weak majorization is closed under the norm topology. (C) 2016 Elsevier Inc. All rights reserved.
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页码：177 / 198
页数：22
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