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

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Norm closure of $C_b^1(\mathbb{R})$

I want to determine what the closure of $C_b^1(\mathbb{R})$, the space of continuous differentiable functions with bounded derivative, with respect to the supremums norm is. I think that $\overline{C_ …
Gergana James's user avatar