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Título:
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On dense-lineability of sets of functions on R
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Autores:
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Aron, R.M. ;
García-Pacheco, F.J. ;
Pérez García, David ;
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, 2009
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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
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Funciones (Matemáticas)
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Tipo = Artículo
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Resumen:
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A subset M of a topological vector space X is said to be dense-lineable in X if there exists an infinite dimensional linear manifold in M boolean OR {0} and dense in X. We give sufficient conditions for a lineable set to be dense-lineable, and we apply them to prove the dense-lineability of several subsets of e[a, b]. We also develop some techniques to show that the set of differentiable nowhere monotone functions is dense-lineable in e[a, b]. Other results related to density and dense-lineability of sets in Banach spaces are also presented.
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En línea:
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https://eprints.ucm.es/id/eprint/17714/1/PerezGarcia17.pdf
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