On log-subharmonicity of singular values of matrices
Aupetit, Bernard
Studia Mathematica, Tome 122 (1997), p. 195-200 / Harvested from The Polish Digital Mathematics Library
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Let F be an analytic function from an open subset Ω of the complex plane into the algebra of n×n matrices. Denoting by s1,...,sn the decreasing sequence of singular values of a matrix, we prove that the functions logs1(F(λ))+...+logsk(F(λ)) and log+s1(F(λ))+...+log+sk(F(λ)) are subharmonic on Ω for 1 ≤ k ≤ n.

Publié le : 1997-01-01
EUDML-ID : urn:eudml:doc:216370 
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     title = {On log-subharmonicity of singular values of matrices},
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     volume = {122},
     year = {1997},
     pages = {195-200},
     zbl = {0881.15010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv122i2p195bwm}
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Aupetit, Bernard. On log-subharmonicity of singular values of matrices. Studia Mathematica, Tome 122 (1997) pp. 195-200. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv122i2p195bwm/

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