DSS-weak majorization and its linear preservers on lp spaces

被引：4

作者：

Eshkaftaki, A. Bayati ^{[1
]}

Berenjegani, M. Heydari ^{[1
]}

Bahrami, F. ^{[2
]}

机构：

[1] Shahrekord Univ, Fac Math Sci, Dept Math, Shahrekord, Iran

[2] Isfahan Univ Technol, Dept Math Sci, Esfahan, Iran

来源：

LINEAR & MULTILINEAR ALGEBRA | 2018年 / 66卷 / 10期

关键词：

Weak majorization; DSS-weak majorization; doubly substochastic; partial permutation;

D O I：

10.1080/03081087.2017.1384444

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we use doubly substochastic operators to extend the notion of weak majorization on p(I) + to the relation DSS-weak majorization defined on p(I). Then we characterize the structure of all bounded linear maps which preserve DSS-weak majorization on these spaces, for 1 < p < 8. It is shown that for p > 1, a bounded linear map T : p(I). p(I) preserves DSS-weak majorization if and only if it preserves majorization. It is also easily shown that this is not true for the case p = 1.

引用

页码：2076 / 2088

页数：13

共 13 条

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