Linear Maps which Preserve or Strongly Preserve Weak Majorization

For x,y∈â„Ân, we say x is weakly submajorized (weakly supermajorized) by y, and write x≺Éy (x≺Éy), if ∑1kx[i]≤∑1ky[i], k=1,2,…,n (∑1kx(i)≥∑1ky(i), k=1,2,…,n), where x[i] (x(i)) denotes the ith component of the vector x↓...

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Bibliographic Details
Main Authors: Mohammad Ali Vali, Ahmad Mohammad Hasani
Format: Article
Language:English
Published: SpringerOpen 2008-02-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2007/82910