Geodesic
Maps preserving spectral radius, numerical radius, spectral norm
The electronic journal of linear algebra, Tome 16 (2007), pp. 347-365.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Characterizations are obtained for Schur (Hadamard) multiplicative maps on complex matrices preserving the spectral radius, numerical radius, or spectral norm. Similar results are obtained for maps under weaker assumptions. Furthermore, a characterization is given for maps f satisfying kA ffi $Bk = kf(A)$ ffi $f(B)$k for all matrices A and B.
Classification : 15A04, 15A18, 15A60
Keywords: Schur product, spectral radius, numerical radius, spectral norm, lp norm 
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     author = {Li, Chi-Kwong and Poon, Edward and Rastogi, Ashwin},
     title = {Maps preserving spectral radius, numerical radius, spectral norm},
     journal = {The electronic journal of linear algebra},
     pages = {347--365},
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     year = {2007},
     language = {en},
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Li, Chi-Kwong; Poon, Edward; Rastogi, Ashwin. Maps preserving spectral radius, numerical radius, spectral norm. The electronic journal of linear algebra, Tome 16 (2007), pp. 347-365. http://geodesic.mathdoc.fr/item/ELA_2007__16__a8/