Publication:
Locally determining sequences for analytic functions. (Spanish: Sucesiones localmente determinantes para funciones analíticas).

dc.contributor.authorAnsemil, José María M.
dc.date.accessioned2023-06-21T02:06:36Z
dc.date.available2023-06-21T02:06:36Z
dc.date.issued1986
dc.description.abstractIn this note we prove that for Fréchet spaces with a basis, the locally determining sets at O for analytic functions in a wide class have a null sequence which is also locally determining at O for analytic functions. This gives a partial answer to a question of J. Chmielowski [Studia Math. 57 (1976), no. 2, 141–146;]
dc.description.departmentDepto. de Análisis Matemático y Matemática Aplicada
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipCAICYT.
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/22447
dc.identifier.citationCHMIELOWSKI, J.: Ensembles déterminants pour les fonctions analytiques. C.R. Ac. Sc. París, t. 279, Serie A (1974), 639-641. CHMIELOWSKI, J.: Constructions des ensembles déterminants pour les fonctions analytiques. Studia Math. LVII (1976), 141-146. CHMIELOWSKI, J., y LUBCZONOK, G.: A Property of Determining Sets for Analytic Functions. Studia Math. LX (1977), 285-288. SINGER, I.: Bases in Banach Spaces I, Springer-Verlag (1970).
dc.identifier.issn0034-0596
dc.identifier.officialurlhttp://www.rac.es/ficheros/Revistas/REV_20091030_00749.pdf
dc.identifier.relatedurlhttp://www.rac.es/0/0_1.php
dc.identifier.urihttps://hdl.handle.net/20.500.14352/64872
dc.issue.number1-2
dc.journal.titleRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid
dc.language.isospa
dc.page.final199
dc.page.initial197
dc.publisherReal Academia de Ciencias Exactas, Físicas y Naturales
dc.relation.projectIDProyecto 2197/83
dc.rights.accessRightsrestricted access
dc.subject.cdu517.982.23
dc.subject.keywordFréchet spaces with a basis
dc.subject.keywordlocally determining sets
dc.subject.keywordanalytic functions
dc.subject.ucmGeometría diferencial
dc.subject.ucmAnálisis funcional y teoría de operadores
dc.subject.unesco1204.04 Geometría Diferencial
dc.titleLocally determining sequences for analytic functions. (Spanish: Sucesiones localmente determinantes para funciones analíticas).
dc.typejournal article
dc.volume.number80
dspace.entity.typePublication
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