Matrix versions of some classical inequalities

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dc.creatorBourin, Jean-Christophe
dc.date2006-01-23
dc.date.accessioned2026-07-07T06:59:11Z
dc.date.available2026-07-07T06:59:11Z
dc.descriptionSome natural inequalities related to rearrangement in matrix products can also be regarded as extensions of classical inequalities for sequences or integrals. In particular, we show matrix versions of Chebyshev and Kantorovich type inequalities. The matrix approach may also provide simplified proofs and new results for classical inequalities. For instance, we show a link between Cassel's inequality and the basic rearrangement inequality for sequences of Hardy-Littlewood-Polya, and we state a reverse inequality to the Hardy-Littlewood-Polya inequality in which matrix technics are essential.
dc.descriptionto appear in Linear Algebra Appl. (2006)
dc.identifierhttps://arxiv.org/abs/math/0601543
dc.identifierhttp://arxiv.org/abs/math/0601543
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107657
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject15A60 47A30 47A63
dc.titleMatrix versions of some classical inequalities
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