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Results tagged with locally-convex-spaces
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user 59219
Topological vector space with a locally convex topology, i.e. induced by a system of seminorms.
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votes
Test functions with "wrong" topology not locally convex?
Here is a more direct argument than that of the other answer:
Let us consider the function
$$
\Phi : C_c^\infty (\mathbb{R}) \to \mathbb{R},
f \mapsto \sum_{n=0}^\infty |f^{(n)} (0)| \cdot …
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