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Results tagged with fa.functional-analysis
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user 89338
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
4
votes
1
answer
210
views
Sequentiality of largest vector topology
I know that the largest vector topology on countable dimensional vector space is sequential (i.e. every sequentially closed set is closed). Does it keep for the arbitrary vector space?
In countable d …
- 105
2
votes
0
answers
68
views
Topologies with the same convex closed sets
Let $\tau_1$ and $\tau_2$ be locally convex Hausdorff topologies on vector space $X$ such that $(X,\tau_1)^\ast = (X,\tau_2)^\ast$. It is well known that $(X,\tau_1)$ and $(X,\tau_2)$ have the same co …
- 105
4
votes
0
answers
493
views
Every convex sequentially closed set is closed
Let $X$ be a vector space. A vector (not necessarily Hausdorff) topology on $X$ will be called convex sequential if every convex sequentially closed subset of $X$ is closed.
Is there some description …
- 105