ON THE BANACH-DIEUDONNÉ THEOREM FOR SPACES OF HOLOMORPHIC FUNCTIONS

Original Articles

ON THE BANACH-DIEUDONNÉ THEOREM FOR SPACES OF HOLOMORPHIC FUNCTIONS

Published in: Quaestiones Mathematicae
Volume 19 , issue 1-2 , 1996 , pages: 341–352
DOI: 10.1080/16073606.1996.9631844
Author(s): Pilar Rueda Departamento de Análisis Matemático, Facultad de Matemáticas, Spain
Keywords: 46G20
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Abstract

In this paper we show that a Banach-Dieudonné type theorem for the space of entire functions of bounded type on a Banach space only holds in the finite dimensional case. We also study if this result holds in the setting of Fréchet spaces.
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