Universidad Complutense de Madrid
E-Prints Complutense

Carácter topológico de Isomorfismo del Borel

Impacto

Downloads

Downloads per month over past year



Ansemil, José María M. (1977) Carácter topológico de Isomorfismo del Borel. In Actas de las IV Jornadas Matemáticas Luso-Españolas. Matemáticas, 1 (1). Universidad de Zaragoza, Jaca, pp. 111-116. ISBN 84-600-1918-7

[img] PDF
674kB

Official URL: http://documat.unirioja.es/servlet/articulo?codigo=1270334


URLURL Type
http://puz.unizar.es/Publisher


Abstract

Let E be a DFN space, E' its strong topological dual, H(E) and H(E') the corresponding spaces of holomorphic functions from E and E' into endowed with the respective compact-open topologies and Exp E' the vector subspace of H(E') consisting of the entire functions of exponential type on E'. In this article we endow Exp E' with a vector space topology and show that Borel´s Transformation is an isomorphism between the topological vector spaces h(E') (strong topological dual of H(E)) and Exp E'.


Item Type:Book Section
Subjects:Sciences > Mathematics > Set theory
ID Code:23758
Deposited On:04 Dec 2013 14:48
Last Modified:09 Aug 2018 08:43

Origin of downloads

Repository Staff Only: item control page