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Título:
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Lineability, spaceability, and algebrability of certain subsets of function spaces.
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Autores:
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García-Pacheco, F.J. ;
Martín, M. ;
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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Mathematical Soc Rep China, 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: Análisis funcional y teoría de operadores
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Tipo = Artículo
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Resumen:
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We construct infinite-dimensional Banach spaces and infinitely generated Banach algebras of functions that, except for 0, satisfy some kind of special or pathological property. Three of these structures are: a Banach algebra of everywhere continuous bounded functions which are not Riemann-integrable; a Banach space of Lebesgue-integrable functions that are not Riemann-integrable; an algebra of continuous unbounded functions defined on an arbitrary non-compact metric space.
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En línea:
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https://eprints.ucm.es/id/eprint/20032/1/Seoane24.pdf
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