Entire functions uniformly bounded on balls of a Banach space

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.

Description

Title: Entire functions uniformly bounded on balls of a Banach space
Author/s:
  • Martínez Ansemil, José María
  • López-Salazar Codes, Jerónimo
  • Ponte Miramontes, Socorro
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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Abstract

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.

More information

Item ID: 22363
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
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