John decompositions: selecting a large part

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dc.creatorVershynin, R.
dc.date1999-09-19
dc.date.accessioned2026-07-07T05:30:49Z
dc.date.available2026-07-07T05:30:49Z
dc.descriptionWe extend the invertibility principle of J. Bourgain and L. Tzafriri to operators acting on arbitrary decompositions id = \sum x_j \otimes x_j, rather than on the coordinate one. The John's decomposition brings this result to the local theory of Banach spaces. As a consequence, we get a new lemma of Dvoretzky-Rogers type, where the contact points of the unit ball with its maximal volume ellipsoid play a crucial role. This is applied to embeddings of l_\infty^k into finite dimensional spaces.
dc.identifierhttps://arxiv.org/abs/math/9909110
dc.identifierhttp://arxiv.org/abs/math/9909110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79121
dc.subjectFunctional Analysis
dc.subject46B07; 46C05
dc.titleJohn decompositions: selecting a large part
dc.typetext

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