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Results tagged with locally-convex-spaces
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user 99246
Topological vector space with a locally convex topology, i.e. induced by a system of seminorms.
5
votes
2
answers
994
views
Are bounded sets always weakly metrizable in reflexive separable spaces?
It is known that if a Banach space is reflexive and separable, its unit ball is weakly metrizable.
My question is about the generalization of this property :
1) Is it true that for all reflexive s …
- 549
6
votes
2
answers
3k
views
Closed convex bounded sets are weakly compact for which spaces?
It is known that for all reflexive Banach spaces, closed convex bounded sets are weakly compact (compact for the weak topology).
What is the general class of topological vector spaces for which this …
- 549