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Título:
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Lineability and coneability of discontinuous functions on R
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Autores:
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Aizpuru, A. ;
Pérez-Eslava, C. ;
García-Pacheco, F.J.
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Tipo de documento:
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texto impreso
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Editorial:
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Kossuth Lajos Tudomanyegyetem, 2008
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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 vector spaces and positive cones of discontinuous functions on R enjoying some special properties, such as functions with an arbitrary F-sigma set of points of discontinuity, discontinuous Riemann-integrable functions, or functions having either jump or removable discontinuities at a given point. We show that these special phenomena occur more often than one could expect, i.e. in a linear or algebraic way.
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