CHARACTERIZATIONS OF MAJORIZATION ON SUMMABLE SEQUENCES
Abstract
In this paper, we prove a necessary and sufficient condition for
majorization on the summable sequence space. For this we redefine the notion of majorization on an an infinite dimensional space and there in investigate properties of the majorization. We also prove the infinite dimensional SchurHorn type and Hardy-Littlewood-P´ olya type theorems.
majorization on the summable sequence space. For this we redefine the notion of majorization on an an infinite dimensional space and there in investigate properties of the majorization. We also prove the infinite dimensional SchurHorn type and Hardy-Littlewood-P´ olya type theorems.
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