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Results tagged with locally-convex-spaces
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user 21907
Topological vector space with a locally convex topology, i.e. induced by a system of seminorms.
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Why is multiplication on the space of smooth functions with compact support continuous?
The spaces $C^\infty_c(\mathbb R^d)$ and $C^\infty_c(\mathbb R^d)\times C^\infty_c(\mathbb R^d)$ are $LF$ spaces (inductive limit of Frechet spaces) and their standard topologies are not metrizable. W …
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