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Results tagged with fa.functional-analysis
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user 314314
Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.
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What's the problem with the evaluation map not being continuous?
When introducing differentiable functions between locally convex spaces, many authors (e.g. Bastiani, Keller, Kriegl-Michor) notice that the evaluation map
$$ E\times E^*\to\mathbb R,\qquad (x,L)\maps …
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Proving the inequality involving Hausdorff distance and Wasserstein infinity distance
Call $A,B$ the two supports, and $h$ the Hausdorff distance. Given a transport plan $\gamma$ we need to infer $h(A,B)\leq\sup^\gamma d(x,y)$, that is, for any $x\in A$, that $\inf_{y\in B} d(x,y)\leq …