The Complete Continuity Property and Finite Dimensional Decompositions

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dc.creatorGirardi, Maria
dc.creatorJohnson, William B.
dc.date1993-02-02
dc.date.accessioned2026-07-07T09:14:52Z
dc.date.available2026-07-07T09:14:52Z
dc.descriptionA Banach space $\X$ has the complete continuity property (CCP) if each bounded linear operator from $L_1$ into $\X$ is completely continuous (i.e., maps weakly convergent sequences to norm convergent sequences). The main theorem shows that a Banach space failing the CCP (resp., failing the CCP and failing cotype) has a subspace with a finite dimensional decomposition (resp., basis) which fails the CCP.
dc.identifierhttps://arxiv.org/abs/math/9302204
dc.identifierhttp://arxiv.org/abs/math/9302204
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152835
dc.subjectFunctional Analysis
dc.subject46B
dc.titleThe Complete Continuity Property and Finite Dimensional Decompositions
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