Carácter topológico de Isomorfismo del Borel



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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

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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

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