Bernal-González, L.; Conejero, J. Alberto; Murillo Arcila, Marina; SEOANE SEPÚLVEDA, JUAN BENIGNO(Elsevier, 2019-10-15)
[EN] 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 ...
Bastin, F.; Conejero Casares, José Alberto; Esser, C.; Seoane-Sepulveda, J. B(Springer Verlag (Germany), 2015-02)
We show that there exist c-generated algebras (and dense in C (a)([0, 1])) every nonzero element of which is a nowhere Gevrey differentiable function. This leads to results of dense algebrability (and, therefore, lineability) ...
Conejero, J. Alberto; Fenoy, Mar; Murillo Arcila, Marina; Seoane Sepúlveda, Juan B.(Springer-Verlag, 2017-07)
[EN] The search of lineability consists on finding large vector spaces of mathematical objects with special properties. Such examples have arisen in the last years in a wide range of settings such as in real and complex ...
Conejero, J. Alberto; Muñoz-Fernández, Gustavo A.; Murillo Arcila, Marina; Seoane Sepúlveda, Juan Benigno(Belgian Mathematical Society, 2015)
[EN] In this short note we show that there exist uncountably generated alge- bras every non-zero element of which is a smooth function having uncount- ably many zeros. This result complements some recent ones by Enflo et ...
Conejero Casares, José Alberto; Jiménez Rodríguez, Pablo; Muñoz-Fernández, Gustavo A.; Seoane-Sepúlveda, Juan B.(Mathematical Association of America (MAA), 2014-01)
The Identity Theorem states that an analytic function (real or complex)
on a connected domain is uniquely determined by its values on a
sequence of distinct points that converge to a point of its domain. This
result is ...