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Título:
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L-p[0,1] \ boolean OR(q > p) L-q[0,1] is spaceable for every p > 0
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Autores:
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Botelho, G. ;
Favaro, V.V. ;
Pellegrino, Daniel ;
Seoane-Sepúlveda, Juan B.
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier Science, 2012
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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In this short note we prove the result stated in the title: that is, for every p > 0 there exists an infinite dimensional closed linear sub-space of L-p[0, 1] every nonzero element of which does not belong to boolean OR(q>p) L-q[0, 1]. This answers in the positive a question raised in 2010 by R.M. Aron on the spaceability of the above sets (for both, the Banach and quasi-Banach cases). We also complete some recent results from Botelho et al. (2011) [3] for subsets of sequence spaces. (C) 2012 Elsevier Inc. All rights reserved.
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En línea:
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https://eprints.ucm.es/id/eprint/19973/1/Seoane07_Elsevier.pdf
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![L-p[0,1] \ boolean OR(q > p) L-q[0,1] is spaceable for every p > 0](./styles/zen/images/no_image.jpg)
