Geodesic
Bounds on the spectral radius of Hadamard products of positive operators on $l_{p}$-spaces
The electronic journal of linear algebra, Tome 22 (2011), pp. 443-447.

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

Summary: Recently, K.M.R. Audenaert (2010), and R.A. Horn and F. Zhang (2010) proved inequalities between the spectral radius of Hadamard products of finite nonnegative matrices and the spectral radius of their ordinary matrix product. We will prove these inequalities in such a way that they extend to infinite nonnegative matrices A and B that define bounded operators on the classical sequence spaces $\ell p$ .
Classification : 15A45, 15B48, 47B65
Keywords: Hadamard product, spectral radius, nonnegative matrix, positive operator, matrix inequality 
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     author = {Schep, Anton R.},
     title = {Bounds on the spectral radius of {Hadamard} products of positive operators on $l_{p}$-spaces},
     journal = {The electronic journal of linear algebra},
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Schep, Anton R. Bounds on the spectral radius of Hadamard products of positive operators on $l_{p}$-spaces. The electronic journal of linear algebra, Tome 22 (2011), pp. 443-447. http://geodesic.mathdoc.fr/item/ELA_2011__22__a51/