2026-07-25T15:14:03Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/423492024-07-22T13:38:38Zcom_20.500.14352_14col_20.500.14352_15
Entire functions uniformly bounded on balls of a Banach space
Martínez Ansemil, José María
López-Salazar Codes, Jerónimo
Ponte Miramontes, María Del Socorro
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.
2023-06-20T00:17:49Z
2023-06-20T00:17:49Z
2023-06-20T00:17:49Z
2011
journal article
https://hdl.handle.net/20.500.14352/42349
0039-3223
10.4064/sm204-2-5
BE45/08
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.
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Polish Acad Sciencies Inst Mathematics