%0 Journal Article
%A Martínez Ansemil, José María
%A López-Salazar Codes, Jerónimo
%A Ponte Miramontes, María Del Socorro
%T Entire functions uniformly bounded on balls of a Banach space
%D 2011
%@ 0039-3223
%U https://hdl.handle.net/20.500.14352/42349
%X Let X be an infinite-dimensional complex Banach space. Very recently, several results on the existence of entire functions on X bounded on a given ball B(1) subset of X and unbounded on another given ball B(2) subset of X have been obtained. In this paper we consider the problem of finding entire functions which are uniformly bounded on a collection of balls and unbounded on the balls of some other collection.
%~