instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
Lineability of families of holomorphic functions
A set  F  of functions is said to be lineable if there exists an infinite-dimensional vector space  X  enjoying the property that X\{0} ⸦ F.
In this talk, we will study the lineability of several special sets of holomorphic functions, among them, the family of entire functions of unbounded type on an infinite-dimensional complex Banach space and the one of functions having full range on a prescribed subset of a domain. Part of these results have been obtained in joint works with Bernal and Seoane.