On real analytic functions of unbounded type

López-Salazar Codes, Jerónimo ORCID: https://orcid.org/0000-0001-6619-546X, Martínez Ansemil, José María and Ponte Miramontes, Socorro (2013). On real analytic functions of unbounded type. "Revista Matematica Complutense", v. 26 (n. 2); pp. 549-560. ISSN 1139-1138. https://doi.org/10.1007/s13163-012-0095-x.


Title: On real analytic functions of unbounded type
Item Type: Article
Título de Revista/Publicación: Revista Matematica Complutense
Date: 2013
ISSN: 1139-1138
Volume: 26
Freetext Keywords: Banach space, Analytic function
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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In this paper we prove several results on the existence of analytic functions on an infinite dimensional real Banach space which are bounded on some given collection of open sets and unbounded on others. In addition, we also obtain results on the density of some subsets of the space of all analytic functions for natural locally convex topologies on this space.
Los autores demuestran varios resultados de existencia de funciones analíticas en espacios de Banach reales de dimensión infinita que están acotadas en un colección de subconjuntos abiertos y no acotadas en los conjuntos de otra colección. Además, se demuestra la densidad de ciertos subconjuntos de funciones analíticas para varias topologías localmente convexas.

More information

Item ID: 22365
DC Identifier: https://oa.upm.es/22365/
OAI Identifier: oai:oa.upm.es:22365
DOI: 10.1007/s13163-012-0095-x
Official URL: http://link.springer.com/article/10.1007/s13163-01...
Deposited by: Memoria Investigacion
Deposited on: 14 Mar 2014 18:04
Last Modified: 21 Apr 2016 14:16
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