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Martínez Ansemil, José María and López-Salazar Codes, Jerónimo and Ponte Miramontes, Socorro (2011). Entire functions uniformly bounded on balls of a Banach space. "Studia Mathematica", v. 204 (n. 2); pp. 187-194. ISSN 0039-3223. https://doi.org/10.4064/sm204-2-5.
Title: | Entire functions uniformly bounded on balls of a Banach space |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | Studia Mathematica |
Date: | 2011 |
ISSN: | 0039-3223 |
Volume: | 204 |
Subjects: | |
Faculty: | E.U.I.T. Telecomunicación (UPM) |
Department: | Matemática Aplicada a la Ingeniería Técnica de Telecomunicación [hasta 2014] |
Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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Let X be an in�finite-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. RESUMEN. Sea X un espacio de Banach complejo de dimensión infinita. En este trabajo, los autores estudian el problema de encontrar una función entera en X que esté uniformemente acotada en una colección de de bolas en X y que no esté acotada en las bolas de otra colección.
Item ID: | 22363 |
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DC Identifier: | http://oa.upm.es/22363/ |
OAI Identifier: | oai:oa.upm.es:22363 |
DOI: | 10.4064/sm204-2-5 |
Official URL: | http://journals.impan.gov.pl/sm/ |
Deposited by: | Memoria Investigacion |
Deposited on: | 11 Mar 2014 17:56 |
Last Modified: | 21 Apr 2016 14:16 |