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On multiplicative (strong) linear preservers of majorizations

Journal: Sahand Communications in Mathematical Analysis (Vol.3, No. 2)

Publication Date:

Authors : ; ;

Page : 91-106

Keywords : Doubly stochastic matrix; Linear preserver; Multiplicative map;

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Abstract

In this paper, we study some kinds of majorizations on Mn and their linear or strong linear preservers. Also, we find the structure of linear or strong linear preservers which are multiplicative, i.e. linear or strong linear preservers like Φ with the property Φ(AB)=Φ(A)Φ(B) for every A,B∈Mn.

Last modified: 2016-08-06 15:47:28