2019-10-232019-10-232019-10-15Bernal González, L., Conejero Casares, J.A., Murillo Arcila, M. y Seoane Sepúlveda, J.B. (2019). [S]-linear and convex structures in function families. Linear Algebra and its Applications, 579, 463-483.0024-3795https://hdl.handle.net/11441/89813In 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 specific situations, as for instance, classes of differentiable 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/LineabilitySpaceabilityConvexityHypercyclic operatorKöthe spaceMixing mapinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.1016/j.laa.2019.07.003