Citation
Martínez Ansemil, José María and López-Salazar Codes, Jerónimo and Ponte Miramontes, Socorro
(2011).
Entire functions uniformly bounded on balls of a Banach space.
"Studia Mathematica", v. 204
(n. 2);
pp. 187-194.
ISSN 0039-3223.
https://doi.org/10.4064/sm204-2-5.
Abstract
Let X be an in�finite-dimensional complex Banach space. Very recently, several results on the existence of entire functions on X bounded on a given ball B1 � X
and unbounded on another given ball B2 � 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.
RESUMEN.
Sea X un espacio de Banach complejo de dimensión infinita. En este trabajo, los autores estudian el problema de encontrar una función entera en X que esté uniformemente acotada en una colección de de bolas en X y que no esté acotada en las bolas de otra colección.
