The compact open and the Nachbin ported topologies on spaces of holomorphic functions
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1988
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Birkhäuser Verlag
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Martínez Ansemil, J. M. & Ponte Miramontes, M. S. «The Compact Open and the Nachbin Ported Topologies on Spaces of Holomorphic Functions». Archiv Der Mathematik, vol. 51, n.o 1, julio de 1988, pp. 65-70. DOI.org (Crossref), https://doi.org/10.1007/BF01194156.
Abstract
Some examples of Fréchet Montel spaces E, which are not Schwartz spaces, for which the compact open and the Nachbin ported topologies coincide on the space of all holomorphic functions on an arbitrary balanced open subset of E, are given.