Entire functions uniformly bounded on balls of a Banach space

José M. Ansemil, Jerónimo López-Salazar, and Socorro Ponte. "Entire functions uniformly bounded on balls of a Banach space." Studia Mathematica 204.2 (2011): 187-194. <http://eudml.org/doc/285846>.

@article{JoséM2011,
abstract = {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 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.},
author = {José M. Ansemil, Jerónimo López-Salazar, Socorro Ponte},
journal = {Studia Mathematica},
keywords = {entire holomorphic function; unbounded holomorphic function; Schauder basis; biorthogonal system},
language = {eng},
number = {2},
pages = {187-194},
title = {Entire functions uniformly bounded on balls of a Banach space},
url = {http://eudml.org/doc/285846},
volume = {204},
year = {2011},
}

TY - JOUR
AU - José M. Ansemil
AU - Jerónimo López-Salazar
AU - Socorro Ponte
TI - Entire functions uniformly bounded on balls of a Banach space
JO - Studia Mathematica
PY - 2011
VL - 204
IS - 2
SP - 187
EP - 194
AB - 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 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.
LA - eng
KW - entire holomorphic function; unbounded holomorphic function; Schauder basis; biorthogonal system
UR - http://eudml.org/doc/285846
ER -