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We show that the set L of complex-valued everywhere surjective functions on C is aJgebrable. Specifically, L contains an infinitely generated algebra every non-zero element of which is everywhere surjective. We also give a technique to construct[...]texto impreso
Jiménez Rodríguez, P. ; Maghsoudi, S. ; Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. | Belgian Mathematical Soc Triomphe | 2016It is known that there is not a two dimensional linear space in R-R every non-zero element of which is an injective function. Here, we generalize this result to arbitrarily large dimensions. We also study the convolution of non differentiable fu[...]texto impreso
In this paper the author studies large linear structures inside the set of Jones functions. He shows that there is an infinite-dimensional linear space inside this set. Further, the linear space is isomorphic to RR, so it is as large as possible[...]texto impreso
Jiménez Rodríguez, Pablo ; Muñoz-Fernández, Gustavo A. ; Seoane-Sepúlveda, Juan B. | Belgian Mathematical Soc Triomphe | 2013-12Let E be a topological vector space and let us consider a property P. We say that the subset M of E formed by the vectors in E which satisfy 2 is mu-lineable (for certain cardinal mu, finite or infinite) if M U {0} contains an infinite dimensio[...]texto impreso
In this note we study the geometry of drops in Banach spaces, and we use it to characterize two well known geometrical properties: rotundity and smoothness.
