Linear preservers of even majorization on M n , m

Mohammad Soleymani, Ali Armandnejad · Linear and Multilinear Algebra · 2013

Let be the algebra of all real matrices. An real matrix is even doubly stochastic if it is a convex combination of even permutation matrices. For , is said to be even majorized by (written as ), if there exists an even doubly stochastic matrix such that . In this paper, the concept of even majorization is investigated and then the linear preservers and strong linear preservers of this concept are characterized on .

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