Martínez Ansemil, José María2023-06-212023-06-2119860034-0596https://hdl.handle.net/20.500.14352/64872In 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;]spajournal articlehttp://www.rac.es/ficheros/Revistas/REV_20091030_00749.pdfhttp://www.rac.es/0/0_1.phprestricted access517.982.23Fréchet spaces with a basisLocally determining setsAnalytic functionsGeometría diferencialAnálisis funcional y teoría de operadores1204.04 Geometría Diferencial