Entire functions uniformly bounded on balls of a Banach space
Loading...
Official URL
Full text at PDC
Publication date
2011
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Polish Acad Sciencies Inst Mathematics
Citations
Exportar
Citation
Martínez Ansemil, J. M., López Salazar Codes, J. & Ponte Miramontes, M. S. «Entire Functions Uniformly Bounded on Balls of a Banach Space». Studia Mathematica, vol. 204, n.o 2, 2011, pp. 187-94. DOI.org (Crossref), https://doi.org/10.4064/sm204-2-5.
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 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.