Martínez Ansemil, José MaríaLópez-Salazar Codes, JerónimoPonte Miramontes, María Del Socorro2023-06-202023-06-202011Martínez 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/sm204-2-5.0039-322310.4064/sm204-2-5https://hdl.handle.net/20.500.14352/42349Let 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.journal articlehttps//doi.org/10.4064/sm204-2-5http://journals.impan.gov.pl/cgi-bin/sm/pdf?sm204-2-05metadata only access517.982.22Entire functionBiorthogonal systemSchauder basisAnálisis funcional y teoría de operadores