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Martínez Ansemil, José María López-Salazar Codes, Jerónimo Ponte Miramontes, María Del Socorro 2023-06-20T00:17:49Z 2023-06-20T00:17:49Z 2011 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. 0039-3223 10.4064/sm204-2-5 https://hdl.handle.net/20.500.14352/42349 https//doi.org/10.4064/sm204-2-5 http://journals.impan.gov.pl/cgi-bin/sm/pdf?sm204-2-05 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. metadata only access Entire functions uniformly bounded on balls of a Banach space journal article