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 ...
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, J. Alberto; Lizama, C.; Murillo-Arcila, Marina; SEOANE SEPÚLVEDA, JUAN BENIGNO(Springer-Verlag, 2019-01)
[EN] In this paper, we study well-posedness for the following third-order in time equation with delay <disp-formula idoperators defined on a Banach space X with domains D(A) and D(B) such that t)is the state function taking ...