Article
[S]-linear and convex structures in function families
Author/s | Bernal González, Luis
Conejero Casares, José Alberto Murillo Arcila, Marina Seoane Sepúlveda, Juan Benigno |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2019-10-15 |
Deposit Date | 2019-10-23 |
Published in |
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Abstract | 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 specific situations, as for instance, ... 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 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. |
Project ID. | FQM-127
P08-FQM-03543 MTM2015-65242-C2-1-P MTM2016-75963-P GVA/2018/110 MTM2015-65825-P |
Citation | Bernal 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. |
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