Monotonicity for entrywise functions of matrices

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dc.creatorHiai, Fumio
dc.date2007-09-08
dc.date2007-10-09
dc.date.accessioned2026-07-07T08:34:34Z
dc.date.available2026-07-07T08:34:34Z
dc.descriptionWe characterize real functions $f$ on an interval $(-α,α)$ for which the entrywise matrix function $[a_{ij}] \mapsto [f(a_{ij})]$ is positive, monotone and convex, respectively, in the positive semidefiniteness order. Fractional power functions are exemplified and related weak majorizations are shown.
dc.description23 pages; Section 6 is considerably improved
dc.identifierhttps://arxiv.org/abs/0709.1235
dc.identifierhttp://arxiv.org/abs/0709.1235
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139482
dc.subjectFunctional Analysis
dc.subject15A45; 15A48
dc.titleMonotonicity for entrywise functions of matrices
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