Some results about the Schroeder-Bernstein Property for separable Banach spaces

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dc.creatorFerenczi, Valentin
dc.creatorGalego, Eloi Medina
dc.date2004-06-23
dc.date.accessioned2026-07-07T05:09:31Z
dc.date.available2026-07-07T05:09:31Z
dc.descriptionWe construct a continuum of mutually non-isomorphic separable Banach spaces which are complemented in each other. Consequently, the Schroeder-Bernstein Index of any of these spaces is $2^{\aleph_0}$. Our construction is based on a Banach space introduced by W. T. Gowers and B. Maurey in 1997. We also use classical descriptive set theory methods, as in some work of V. Ferenczi and C. Rosendal, to improve some results of P. G. Casazza and of N. J. Kalton on the Schroeder-Bernstein Property for spaces with an unconditional finite-dimensional Schauder decomposition.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0406479
dc.identifierhttp://arxiv.org/abs/math/0406479
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71652
dc.subjectFunctional Analysis
dc.subject46B03, 46B20
dc.titleSome results about the Schroeder-Bernstein Property for separable Banach spaces
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