Publication: Locally determining sequences for analytic functions. (Spanish: Sucesiones localmente determinantes
para funciones analíticas).
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Publication Date
1986
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Real Academia de Ciencias Exactas, Físicas y Naturales
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Abstract
In 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;]
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CHMIELOWSKI, 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).