On strict suns in $\ell^\infty(3)$

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dc.creatorAlimov, A. R.
dc.date2002-05-27
dc.date.accessioned2026-07-07T04:48:44Z
dc.date.available2026-07-07T04:48:44Z
dc.descriptionA subset M of a normed linear space X is said to be a {\it strict sun} if, for every point $x\in X\setminus M$, the set of its nearest points from~$M$ is non-empty and if $y\in M$ is a nearest point from M to x, then y is a nearest point from M to all points from the ray $\{λx+(1- λ)y | λ>0\}$. In the paper there obtained a geometrical characterisation of strict suns in $\ell^\infty(3)$.
dc.identifierhttps://arxiv.org/abs/math/0205280
dc.identifierhttp://arxiv.org/abs/math/0205280
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64162
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject41A65
dc.titleOn strict suns in $\ell^\infty(3)$
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