An example of an almost greedy uniformly bounded orthonormal basis for $L_p([0,1])$

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dc.creatorNielsen, Morten
dc.date2006-11-28
dc.date.accessioned2026-07-07T07:33:27Z
dc.date.available2026-07-07T07:33:27Z
dc.descriptionWe construct a uniformly bounded orthonormal almost greedy basis for $L_p([0,1])$, $1<p<\infty$. The example shows that it is not possible to extend Orlicz's theorem, stating that there are no uniformly bounded orthonormal unconditional bases for $L_p([0,1])$, $p\not=2$, to the class of almost greedy bases.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math/0611890
dc.identifierhttp://arxiv.org/abs/math/0611890
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119463
dc.subjectFunctional Analysis
dc.subject42C20
dc.titleAn example of an almost greedy uniformly bounded orthonormal basis for $L_p([0,1])$
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