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

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Finding necessary and sufficient topological conditions

$\mathcal G: \mathbb R_+ \to \mathbb R_+$ is a set of strictly increasing continuous functions. If for any $\epsilon>0$,$x\in \mathbb R_+$ and $\alpha\in (0,1)$ there exists $z\leq x$ and $g\in \mathc …
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