Linear preservers of majorization on ℓ^p(I)

2011/07/31 by Farid Bahrami, Bahrami, Farid, Ali Bayati +3
Mathematics · #15A86 #47B60 #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1108.0142

openalex publication_date 2011/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, using doubly stochastic operators, we have extended the notion of majorization to the space ℓ^p(I), where I is assumed to be an infinite set, and then, in the case p∈ (1,+∞), characterize the structure of all bounded linear maps on this space which preserves majorization.

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