%0 Journal Article 
%A Bernal, L.
%A Conejero, J.A.
%A Murillo Arcila, Marina
%A Seoane-Sepúlveda, J.B.
%T [S]-linear and convex structures in function families
%D 2019
%@ 0024-3795
%U http://hdl.handle.net/10498/35400
%X In this paper, the notion of [S]-lineability (originally coined
by Vladimir I. Gurariy) is introduced and developed in a general abstract
setting. This new notion is, then, applied to speci c situations, as for
instance, classes of di erentiable nowhere monotone functions as well
as families of vectors having dense orbit with respect to an operator.
Large convex structures are also shown to exist inside the family of
topologically mixing continuous selfmaps of a real compact interval.
%K lineability
%K spaceability
%K convexity
%K hypercyclic operator
%K K othe space
%K mixing map
%~ Universidad de Cádiz