Locally determining sequences for analytic functions
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1986
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Real Academia de Ciencias Exactas, Físicas y Naturales
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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;]