Entire functions uniformly bounded on balls of a Banach space
José M. Ansemil ; Jerónimo López-Salazar ; Socorro Ponte
Studia Mathematica, Tome 204 (2011), p. 187-194 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2011-01-01
EUDML-ID : urn:eudml:doc:285846 
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José M. Ansemil; Jerónimo López-Salazar; Socorro Ponte. Entire functions uniformly bounded on balls of a Banach space. Studia Mathematica, Tome 204 (2011) pp. 187-194. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm204-2-5/