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Título:
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Vector spaces of non-measurable functions
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Autores:
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García-Pacheco, F.J. ;
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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Springer Heidelberg, 2006
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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: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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We show that there exists an infinite dimensional vector space every non-zero element of which is a non-measurable function. Moreover, this vector space can be chosen to be closed and to have dimension beta for any cardinality beta. Some techniques involving measure theory and density characters of Banach spaces are used.
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En línea:
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https://eprints.ucm.es/id/eprint/20209/1/Seoane43.pdf
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