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Results tagged with locally-convex-spaces
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user 58975
Topological vector space with a locally convex topology, i.e. induced by a system of seminorms.
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Continuity and sequential continuity of a linear functional
Another way of seeing that the answer is affirmative is to realize that the topology on $E$ is the inductive limit of the topologies on $C(K,R^m)$ (see e.g. https://en.wikipedia.org/wiki/Final_topolog …
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