DSS-weak majorization and its linear preservers on l(p) spaces

作者：Eshkaftaki A. Bayati; Berenjegani M. Heydari^*; Bahrami F.

来源：Linear and Multilinear Algebra, 2018, 66(10): 2076-2088.

DOI：10.1080/03081087.2017.1384444

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

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.

• 出版日期2018