2023-12-01T04:49:42Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/504622023-08-11T09:45:47Zcom_20.500.14352_14col_20.500.14352_15
00925njm 22002777a 4500
dc
Aizpuru, A.
author
Pérez-Eslava, C.
author
García-Pacheco, F.J.
author
2008
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.
0033-3883
https://hdl.handle.net/20.500.14352/50462
http://www.math.klte.hu/publi/index.php?p=10
http://www.math.klte.hu/publi/index.php?p=1
Lineability and coneability of discontinuous functions on R