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Lineability and coneability of discontinuous functions on R\ud

By A. Aizpuru, C. Pérez-Eslava and F.J. García-Pacheco

Abstract

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.\u

Topics: Análisis funcional y teoría de operadores
Publisher: Kossuth Lajos Tudomanyegyetem
Year: 2008
OAI identifier: oai:www.ucm.es:20049
Provided by: EPrints Complutense
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