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Zbl 1158.15002
Clark, Sean; Li, Chi-Kwong; Rodman, Leiba
Spectral radius preservers of products of monnegative matrices. (English)
[J] Banach J. Math. Anal. 2, No. 2, 107-120, electronic only (2008). ISSN 1735-8787/e

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.
[C. M. da Fonseca (Coimbra)]
MSC 2000:
*15A04 Linear transformations (linear algebra)
15A18 Eigenvalues of matrices, etc.
15A48 Positive matrices and their generalizations

Keywords: spectral radius; spectrum; peripheral spectrum; Jordan triple product; matrix product; surjective preservers; nonnegative matrices

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