Isometric embeddings of compact spaces into Banach spaces

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dc.creatorDutrieux, Yves
dc.creatorLancien, Gilles
dc.date2008-01-16
dc.date.accessioned2026-07-07T08:54:50Z
dc.date.available2026-07-07T08:54:50Z
dc.descriptionWe show the existence of a compact metric space $K$ such that whenever $K$ embeds isometrically into a Banach space $Y$, then any separable Banach space is linearly isometric to a subspace of $Y$. We also address the following related question: if a Banach space $Y$ contains an isometric copy of the unit ball or of some special compact subset of a separable Banach space $X$, does it necessarily contain a subspace isometric to $X$? We answer positively this question when $X$ is a polyhedral finite-dimensional space, $c_0$ or $\ell_1$.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0801.2486
dc.identifierhttp://arxiv.org/abs/0801.2486
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146081
dc.subjectFunctional Analysis
dc.subject46B04; 46B20
dc.titleIsometric embeddings of compact spaces into Banach spaces
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