Article ID Journal Published Year Pages File Type
4598745 Linear Algebra and its Applications 2016 18 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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