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Results tagged with locally-convex-spaces
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user 83700
Topological vector space with a locally convex topology, i.e. induced by a system of seminorms.
6
votes
0
answers
140
views
Does every locally convex space with a Schauder basis have the approximation property?
For Banach spaces, the existence of a Schauder basis implies that this space has the approximation property.
Since both the notion of Schauder bases and of the approximation property are well establ …
- 799
3
votes
0
answers
157
views
Elements of vector-valued $L^1$-spaces
Let $E$ be a complete locally convex space and let $(X, \Sigma, \mu)$ be a measure space where $\mu$ is a Radon measure. Then the space $L^{1}(X,E)$ is defined as a the completion of the space $S(X,E) …
- 799