| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4601099 | Linear Algebra and its Applications | 2012 | 19 Pages |
Abstract
In this paper we use doubly stochastic operators to extend the notion of majorization on lp, where I is assumed to be an infinite set and p∈(1,+∞), and then characterize the structure of all bounded linear maps on this space which preserve majorization. We will see that the two cases p∈(1,+∞) and p=1 lead to different structures.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
