An example of an asymptotically Hilbertian space which fails the approximation property

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dc.creatorCasazza, P. G.
dc.creatorGarcia, C. L.
dc.creatorJohnson, W. B.
dc.date2000-06-19
dc.date2000-09-20
dc.date.accessioned2026-07-07T04:35:57Z
dc.date.available2026-07-07T04:35:57Z
dc.descriptionFollowing Davie's example of a Banach space failing the approximation property [D], we show how to construct a Banach space E which is asymptotically Hilbertian and fails the approximation property. Moreover, the space E is shown to be a subspace of a space with an unconditional basis which is ``almost'' a weak Hilbert space and which can be written as the direct sum of two subspaces all of whose subspaces have the approximation property.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0006134
dc.identifierhttp://arxiv.org/abs/math/0006134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59432
dc.subjectFunctional Analysis
dc.subject46B20; 46B07
dc.titleAn example of an asymptotically Hilbertian space which fails the approximation property
dc.typetext

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