Volume 5, Issue 1 (May 2010)
IJMSI 2010, 5(1): 1-5 |
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Armandnejad A, Afshin H R. Linear Functions Preserving Multivariate and Directional Majorization. IJMSI 2010; 5 (1) :1-5
URL: http://ijmsi.ir/article-1-105-en.html
URL: http://ijmsi.ir/article-1-105-en.html
Abstract:
Let V and W be two real vector spaces and let &sim be a relation on both V and W. A linear function T : V → W is said to be a linear preserver (respectively strong linear preserver) of &sim if Tx &sim Ty whenever x &sim y (respectively Tx &sim Ty if and only if x &sim y). In this paper we characterize all linear functions T : M_{n,m} → M_{n,k} which preserve or strongly preserve multivariate and directional majorization.
Keywords: Doubly Stochastic matrices, Directional majorization, Multivariate majorization, Linear preserver.
Type of Study: Research paper |
Subject:
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