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LFC bumps on separable Banach spaces
Authors:M Jiménez-Sevilla  L Sánchez-González
Institution:Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain
Abstract:In this note we construct a C-smooth, LFC (Locally depending on Finitely many Coordinates) bump function, in every separable Banach space admitting a continuous, LFC bump function.
Keywords:Smooth bump functions  Locally depending on finitely many coordinates  Polyhedral Banach spaces
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