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Results tagged with fa.functional-analysis
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user 176586
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
1
vote
0
answers
128
views
Construction of Schauder bases on $C(X)$
Let $(X,d)$ be a compact metric space and let $C(X)$ be the set of continuous (bounded) real-valued functions on $X$ equipped with the usual supremum norm:
$$
\|f\|_{\infty}\triangleq \sup_{x\in X}|f( …
- 109
2
votes
0
answers
187
views
Effect of dualization of density
Let $D\subset X$ be a dense subset of a complete separable locally convex space $X$ over $\mathbb{R}$. Though the question seems simple enough, I can't seem to find the answer in the literature:
If $ …
- 109