RT Journal Article
T1 On dense-lineability of sets of functions on R
A1 Aron, R.M.
A1 García-Pacheco, F.J.
A1 Pérez García, David
A1 Seoane-Sepúlveda, Juan B.
AB A subset M of a topological vector space X is said to be dense-lineable in X if there exists an infinite dimensional linear manifold in M boolean OR {0} and dense in X. We give sufficient conditions for a lineable set to be dense-lineable, and we apply them to prove the dense-lineability of several subsets of e[a, b]. We also develop some techniques to show that the set of differentiable nowhere monotone functions is dense-lineable in e[a, b]. Other results related to density and dense-lineability of sets in Banach spaces are also presented.
PB Elsevier
SN 0040-9383
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/42487
UL https://hdl.handle.net/20.500.14352/42487
LA eng
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NO Ministerio de Ciencia e Innovación
NO Ministerio de Educación y Ciencia
DS Docta Complutense
RD 2 may 2024