Azagra Rueda, DanielGómez Gil, JavierFry, RobbLovo, MauricioJaramillo Aguado, Jesús Ángel2023-06-202023-06-202005-030033-560610.1093/qmath/hah020https://hdl.handle.net/20.500.14352/49596We show that if X is a Banach space having an unconditional basis and a Cp-smooth Lipschitz bump function, then for every C1-smooth function f from X into a Banach space Y, and for every continuous function ε : X → (0, ∞), there exists a Cp-smooth function g : X → Y such that ‖f − g‖ ≤ ε and ‖f′ − g′‖ ≤ ε.engjournal articlehttp://qjmath.oxfordjournals.org/open access517.98Smooth bumpsFine approximationAnálisis funcional y teoría de operadores