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Results tagged with fa.functional-analysis
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user 24302
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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Local convexity of C([a,b])
Let $C([a,b],\mathbb{R})$ denote the space of continuous functions from $[a,b]$ to the real numbers. For a function $f\in C([a,b],\mathbb{R})$ and $d\gt 0$, define
$$p_d(f) :=sup\{\lvert f(x)-f(y)\r …
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