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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

4 votes
1 answer
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Dense sets in the space of continuous functions

Let $X$ be a compact metric space, and let $C(X)$ be the Banach space of continuous real-valued function on $X$, with the maximum norm. Suppose $S\subset C(X)$ is a set of functions with the follow …
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