Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices |
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| Authors: | Chi-Kwong Li |
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| Institution: | Department of Mathematics, College of William and Mary, Williamsburg, VA 23187-8795, USA |
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| Abstract: | Let  be the set of entrywise nonnegative n×n matrices. Denote by r(A) the spectral radius (Perron root) of  . Characterization is obtained for maps  such that r(f(A)+f(B))=r(A+B) for all  . In particular, it is shown that such a map has the form |
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| Keywords: | 15A04 15A18 15A60 |
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