دوره 5، شماره 1 - ( 2-1389 )
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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-fa.html
URL: http://ijmsi.ir/article-1-105-fa.html
Linear Functions Preserving Multivariate and Directional Majorization. مجله علوم ریاضی و انفورماتیک. 1389; 5 (1) :1-5
چکیده:
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.
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