Coefficient Quantization in Banach Spaces

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dc.creatorDilworth, S. J.
dc.creatorOdell, E.
dc.creatorSchlumprecht, Th.
dc.creatorZsak, Andras
dc.date2006-06-13
dc.date.accessioned2026-07-07T07:17:15Z
dc.date.available2026-07-07T07:17:15Z
dc.descriptionLet (e_i) be a dictionary for a separable Banach space X. We consider the problem of approximation by linear combinations of dictionary elements with quantized coefficients drawn usually from a `finite alphabet'. We investigate several approximation properties of this type and connect them to the Banach space geometry of X. The existence of a total minimal system with one of these properties, namely the coefficient quantization property, is shown to be equivalent to X containing c_0.
dc.descriptionLaTeX, 28 pages
dc.identifierhttps://arxiv.org/abs/math/0606317
dc.identifierhttp://arxiv.org/abs/math/0606317
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113873
dc.subjectFunctional Analysis
dc.subject46B20; 41A65
dc.titleCoefficient Quantization in Banach Spaces
dc.typetext

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