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Results tagged with convexity
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user 18936
For questions involving the concept of convexity
3
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2
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Is a convex, lower semicontinuous function that is bounded from below, actually continuous?
While thinking about convex functions, I managed to put together the following proof which I find a bit too good to be true. $X$ is a topological vector space that is also a Baire space.
Lemma: Let $f …
- 651
3
votes
Accepted
Is a convex, lower semicontinuous function that is bounded from below, actually continuous?
Though not entirely in the same setting, as can be seen from these lecture notes my reasoning seems to hold. In the lecture notes, one considers barrelled spaces but the local boundedness at some poin …
- 651