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Results tagged with locally-convex-spaces
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user 246314
Topological vector space with a locally convex topology, i.e. induced by a system of seminorms.
1
vote
Topologies on space of compactly supported continuous functions
The example $X = \mathbb N$ (with Radon measure $\mu =$ counting measure) suggested by Abdelmalek Abdesselam indeed shows that the three topologies on $C_c(X)$ are not the same in general. Here are th …
- 89
3
votes
2
answers
1k
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Topologies on space of compactly supported continuous functions
Let $X$ be a locally compact Hausdorff space. As far as I understand, the space $C_c(X) = C_c(X; \mathbb{C})$ of compactly supported continuous complex-valued functions on $X$ is (most?) often topolog …
- 89