RT Journal Article
T1 Lineability and coneability of discontinuous functions on R
A1 Aizpuru, A.
A1 Pérez-Eslava, C.
A1 García-Pacheco, F.J.
AB 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.
PB Kossuth Lajos Tudomanyegyetem
SN 0033-3883
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/50462
UL https://hdl.handle.net/20.500.14352/50462
DS Docta Complutense
RD 30 nov 2023