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http://dx.doi.org/10.4134/BKMS.2002.39.2.283

RESOLUTION OF THE CONJECTURE ON STRONG PRESERVERS OF MULTIVARIATE MAJORIZATION  

Beasley, Leroy-B. (Department of Mathematics And Statistics, Utah State University)
Lee, Sang-Gu (Department of Mathematics, Sungkyunkwan University)
Lee, You-Ho (School of Computing, Soongsil University)
Publication Information
Bulletin of the Korean Mathematical Society / v.39, no.2, 2002 , pp. 283-287 More about this Journal
Abstract
In this paper, we will investigate the set of linear operators on real square matrices that strongly preserve multivariate majorisation without any additional conditions on the operator. This answers earlier conjecture on nonnegative matrices in [3] .
Keywords
majorization; multivariate majorization; strong preserver; doubly stochastic matrix;
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