Bounds on norms of compound matrices and on products of eigenvalues

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An upper bound on operator norms of compound matrices is presented, and special cases that involve the $\ell_1$, $\ell_2$ and $\ell_\infty$ norms are investigated. The results are then used to obtain bounds on products of the largest or smallest eigenvalues of a matrix.

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Rings and Algebras, 15A15; 15A42; 15A60

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http://salesiana.dossiersoluciones.com/handle/123456789/76637

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9802106
 http://arxiv.org/abs/math/9802106

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arXiv