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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.
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
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