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Results tagged with locally-convex-spaces
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user 17047
Topological vector space with a locally convex topology, i.e. induced by a system of seminorms.
3
votes
1
answer
127
views
Openness of invertibility in Fréchet spaces for families parameterized by compact spaces
Consider the following setup. Let $K$ be a compact topological space, $X$ a Fréchet space and $T:K \times X \to X$ a continuous family of linear maps (i.e. $T$ is a continuous map and $T_k \equiv T(k, …
- 5,824
8
votes
1
answer
501
views
Examples of topologies compatible with a given dual pair
Let $\langle X, Y \rangle$ be a pair of vector spaces put in duality by a non-degenerate bilinear form $\langle \cdot, \cdot \rangle: X \times Y \to \mathbb{R}$. A topology $\tau$ on $X$ is called com …
- 5,824