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Results tagged with fa.functional-analysis
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user 141993
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
6
votes
Accepted
Is $\mathscr{S}_h'$ a complementary subspace for $\mathscr{S}'/\mathscr{P}$, the space of te...
(This is rather late, but I'll answer the question anyways.) No, it is not true that $\mathscr S_h'$ and $\mathscr P$ are (topological) complements in $\mathscr S'$ (in fact, they are not even linear …
- 176
0
votes
Extending Continuous Sublinear maps on dense subsets of a Banach space
Yes, in your situation, you can continuously extend $T$ and the extension will also be a sublinear operator (the extension is also unique). The reason you can do this is because if $T$ is a sublinear …
- 176