Llavona, José G.2023-06-212023-06-211986978-0-444-70128-2https://hdl.handle.net/20.500.14352/65556Notas de matemática, n. 112This self-contained book brings together the important results of a rapidly growing area.As a starting point it presents the classic results of the theory. The book covers such results as: the extension of Wells' theorem and Aron's theorem for the fine topology of order m; extension of Bernstein's and Weierstrass' theorems for infinite dimensional Banach spaces; extension of Nachbin's and Whitney's theorem for infinite dimensional Banach spaces; automatic continuity of homomorphisms in algebras of continuously differentiable functions, etc.spaApproximation of continuously differentiable functionsbookhttp://www.sciencedirect.com/science/bookseries/03040208/130http://www.sciencedirect.com/restricted access517Análisis matemático1202 Análisis y Análisis Funcional