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Spectral radius preservers of products of monnegative matrices. (English) Zbl 1158.15002

The aim of this paper is to characterize the surjective preservers of the spectral radius, spectrum and peripheral spectrum of the standard product or the Jordan triple product on entrywise nonnegative matrices.

MSC:

15A04 Linear transformations, semilinear transformations
15A18 Eigenvalues, singular values, and eigenvectors
15B48 Positive matrices and their generalizations; cones of matrices
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