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Approximation of Continuously Differentiable Functions

Approximation of Continuously Differentiable Functions

J.G. Llavona

(1986)

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Abstract

This 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.