Quotients of finite-dimensional quasi-normed spaces

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dc.creatorKalton, N. J.
dc.creatorLitvak, A. E.
dc.date2001-04-11
dc.date.accessioned2026-07-07T04:41:15Z
dc.date.available2026-07-07T04:41:15Z
dc.descriptionWe study the existence of cubic quotients of finite-dimensional quasi-normed spaces, that is, quotients well isomorphic to $\ell_{\infty}^k$ for some $k.$ We give two results of this nature. The first guarantees a proportional dimensional cubic quotient when the envelope is cubic; the second gives an estimate for the size of a cubic quotient in terms of a measure of non-convexity of the quasi-norm.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0104120
dc.identifierhttp://arxiv.org/abs/math/0104120
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61282
dc.subjectFunctional Analysis
dc.subject46B07
dc.titleQuotients of finite-dimensional quasi-normed spaces
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