Complemented subspaces of spaces obtained by interpolation

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dc.creatorGarling, D. J. H.
dc.creatorMontgomery-Smith, Stephen J.
dc.date1990-06-20
dc.date1999-12-04
dc.date.accessioned2026-07-07T09:04:40Z
dc.date.available2026-07-07T09:04:40Z
dc.descriptionIf Z is a quotient of a subspace of a separable Banach space X, and V is any separable Banach space, then there is a Banach couple (A_0,A_1) such that A_0 and A_1 are isometric to $X\oplus V$, and any intermediate space obtained using the real or complex interpolation method contains a complemented subspace isomorphic to Z. Thus many properties of Banach spaces, including having non-trivial cotype, having the Radon-Nikodym property, and having the analytic unconditional martingale difference sequence property, do not pass to intermediate spaces.
dc.identifierhttps://arxiv.org/abs/math/9201212
dc.identifierhttp://arxiv.org/abs/math/9201212
dc.identifierJ. L.M.S. (2) 44 (1991), 503-513
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149460
dc.subjectFunctional Analysis
dc.subject46B99
dc.titleComplemented subspaces of spaces obtained by interpolation
dc.typetext

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