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On the norm and numerical radius of Hermitian elements

โœ Scribed by S. Norvidas


Publisher
Springer
Year
1994
Tongue
English
Weight
293 KB
Volume
34
Category
Article
ISSN
0363-1672

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Preservers of spectral radius, numerical
โœ Chi-Kwong Li; Leiba Rodman ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 242 KB

Let M + n be the set of entrywise nonnegative n ร— n matrices. Denote by r(A) the spectral radius (Perron root) of A โˆˆ M + n . Characterization is obtained for maps f : In particular, it is shown that such a map has the form for some S โˆˆ M + n with exactly one positive entry in each row and each co