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Results tagged with fa.functional-analysis
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user 149235
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
4
votes
0
answers
133
views
Weakly compact sets forced to contain $0$
Let $E$ be an infinite-dimensional real normed space and let $K\subset E$ be a weakly compact set such that, for each $\varphi\in E^*\setminus \{0\}$, there exists a unique $\tilde x\in K$ such that
$ …
- 1,724
5
votes
2
answers
217
views
On the closed convex hull of a weakly compact set
Let $H$ be an infinite-dimensional real Hilbert space and let $B$ be the closed unit ball of $H$. Let $K\subset B$ be a weakly compact set whose closed convex hull agrees with $B$. Question: does $K$ …
- 54.2k