Geodesic
On log-subharmonicity of singular values of matrices
Studia Mathematica, Tome 122 (1997) no. 2, pp. 195-200 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $s_1,...,s_n$ the decreasing sequence of singular values of a matrix, we prove that the functions $log s_{1}(F(λ)) + ... + log s_{k}(F(λ))$ and $log^{+}s_{1}(F(λ)) + ... + log^{+}s_{k}(F(λ))$ are subharmonic on Ω for 1 ≤ k ≤ n. 
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     author = {Bernard Aupetit},
     title = {On log-subharmonicity of singular values of matrices},
     journal = {Studia Mathematica},
     pages = {195--200},
     year = {1997},
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     doi = {10.4064/sm-122-2-195-200},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-122-2-195-200/}
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Bernard Aupetit. On log-subharmonicity of singular values of matrices. Studia Mathematica, Tome 122 (1997) no. 2, pp. 195-200. doi: 10.4064/sm-122-2-195-200

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