Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598745 | Linear Algebra and its Applications | 2016 | 18 Pages |
Abstract
We present a necessary and sufficient conditions that a bounded linear map on ℓp(I)ℓp(I), when p∈(1,∞)p∈(1,∞), may be considered as a linear preserver of weak majorization on ℓp(I)+ℓp(I)+, where I is an arbitrary infinite set. We also prove that the class of all linear preservers of weak majorization is closed under the norm topology.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Martin Ljubenović, Dragan S. Djordjević,