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Spaces of holomorphic functions and germs on quotients

dc.book.titleProgress in Functional Analysis
dc.contributor.authorMartínez Ansemil, José María
dc.contributor.authorAron, Richard M.
dc.contributor.authorPonte Miramontes, María Del Socorro
dc.contributor.editorBierstedt, K.D.
dc.contributor.editorBonet, J.
dc.contributor.editorHorvát, J.
dc.contributor.editorMaestre, M.
dc.date.accessioned2023-06-20T21:03:40Z
dc.date.available2023-06-20T21:03:40Z
dc.date.issued1992
dc.descriptionINTERNATIONAL FUNCTIONAL ANALYSIS MEETING ON THE OCCASION OF THE 60TH BIRTHDAY OF PROFESSOR M VALDIVIA.PENISCOLA,OCT 22-27, 1990
dc.description.abstractLet E be a complex locally convex space, F a closed subspace, and let π be the canonical quotient mapping from E onto E/F. Let H(U) [resp. H(K)] be the set of holomorphic functions on the open set U of E [resp. the set of germs of holomorphic functions on the compact set K of E]. Let π∗ be the mapping induced by π from H(π(U)) [resp. H(π(K))] into H(U) [resp. H(K)]. π∗ is always continuous for the natural topologies; the aim of the paper is to give a survey of the results concerning when π∗ is, or is not, an embedding.en
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDirección General de Investigación Científica y Técnica (España)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/16818
dc.identifier.citationMartínez Ansemil, J. M., Aron, R. M. & Ponte Miramontes, M. S. «Spaces of Holomorphic Functions and Germs on Quotients». North-Holland Mathematics Studies, vol. 170, Elsevier, 1992, pp. 163-77. DOI.org (Crossref), https://doi.org/10.1016/S0304-0208(08)70317-7.
dc.identifier.doi10.1016/S0304-0208(08)70317-7
dc.identifier.isbn0-444-89378-4
dc.identifier.officialurlhttps//doi.org/10.1016/S0304-0208(08)70317-7
dc.identifier.relatedurlhttp://www.sciencedirect.com/science/article/pii/S0304020808703177
dc.identifier.urihttps://hdl.handle.net/20.500.14352/60576
dc.issue.number170
dc.page.final177
dc.page.initial163
dc.page.total423
dc.publication.placeAmsterdam
dc.publisherElsevier Science Publ. B. V.
dc.relation.ispartofseriesNorth-Holland mathematics studies
dc.relation.projectIDPB87/1031.
dc.rights.accessRightsmetadata only access
dc.subject.cdu517.98
dc.subject.keywordHolomorphic mappings on quotient spaces
dc.subject.keywordCompact open topology
dc.subject.keywordEmbedding
dc.subject.keywordFréchet-Montel non-Schwartz space
dc.subject.keywordMontel space
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.titleSpaces of holomorphic functions and germs on quotientsen
dc.typebook part
dspace.entity.typePublication
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relation.isAuthorOfPublication67a29a58-69bf-4013-9eef-059313b4a915
relation.isAuthorOfPublication.latestForDiscoverye94d6c20-a1ea-4d41-aa71-df8bbd1ad67d

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