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Results tagged with fa.functional-analysis
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user 4008
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
23
votes
The role of completeness in Hilbert Spaces
There are many uses of completeness. One of the first (and one of the most striking) is the fact that a closed subspace has a complement. This in turn uses the fact that for a point not on the closed …
- 22.6k
3
votes
I was wondering if the set of singular loops is a (somewhere) submanifold of loop space?
The following argument I think should work to prove that the answer is no (though I haven't checked whether it really fits in with the proper definition): Consider a loop where three points of $S^1$ m …
- 22.6k