RT journal article
T1 [S]-linear and convex structures in function families
A1 Bernal, L.
A1 Conejero, J.A.
A1 Murillo Arcila, Marina
A1 Seoane-Sepúlveda, J.B.
A2 Matemáticas
K1 lineability
K1 spaceability
K1 convexity
K1 hypercyclic operator
K1 K othe space
K1 mixing map
AB In this paper, the notion of [S]-lineability (originally coinedby Vladimir I. Gurariy) is introduced and developed in a general abstractsetting. This new notion is, then, applied to speci c situations, as forinstance, classes of di erentiable nowhere monotone functions as wellas families of vectors having dense orbit with respect to an operator.Large convex structures are also shown to exist inside the family oftopologically mixing continuous selfmaps of a real compact interval.
PB Elsevier
SN 0024-3795
YR 2019
FD 2019
LK http://hdl.handle.net/10498/35400
UL http://hdl.handle.net/10498/35400
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026