Metrizability of spaces of holomorphic functions with the Nachbin topology

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dc.contributor.authorMartínez Ansemil, José María
dc.contributor.authorPonte Miramontes, María Del Socorro
dc.date.accessioned2023-06-20T09:40:14Z
dc.date.available2023-06-20T09:40:14Z
dc.date.issued2007-10-15
dc.description.abstractIn this paper we prove, among other things, that the space of all holomorphic functions on an open subset U of a complex metrizable space E, endowed with the Nachbin ported topology, is metrizable only if E has finite dimension. This answers a question by Mujica in [J. Mujica, Germenes holomorfos y funciones holomorfas en espacios de Frechet, Publicaciones del Departamento de Teoria de Funciones, Universidad de Santiago, Spain, 1978].en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16791
dc.identifier.citationMartínez Ansemil, J. M. & Ponte Miramontes, M. S. «Metrizability of Spaces of Holomorphic Functions with the Nachbin Topology». Journal of Mathematical Analysis and Applications, vol. 334, n.o 2, octubre de 2007, pp. 1146-51. DOI.org (Crossref), https://doi.org/10.1016/j.jmaa.2007.01.012.
dc.identifier.doi10.1016/j.jmaa.2007.01.012
dc.identifier.issn0022-247X
dc.identifier.officialurlhttps//doi.org/10.1016/j.jmaa.2007.01.012
dc.identifier.relatedurlhttp://www.sciencedirect.com/science/article/pii/S0022247X07000339
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50151
dc.issue.number2
dc.journal.titleJournal of Mathematical Analysis and Applications
dc.language.isoeng
dc.page.final1151
dc.page.initial1146
dc.publisherElsevier
dc.rights.accessRightsrestricted access
dc.subject.cdu517.98
dc.subject.keywordHolomorphic function
dc.subject.keywordNachbin topology
dc.subject.keywordMetrizable space
dc.subject.ucmFunciones (Matemáticas)
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleMetrizability of spaces of holomorphic functions with the Nachbin topologyen
dc.typejournal article
dc.volume.number334
dspace.entity.typePublication
relation.isAuthorOfPublicatione94d6c20-a1ea-4d41-aa71-df8bbd1ad67d
relation.isAuthorOfPublication67a29a58-69bf-4013-9eef-059313b4a915
relation.isAuthorOfPublication.latestForDiscoverye94d6c20-a1ea-4d41-aa71-df8bbd1ad67d

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