Timeline for Pointwise convergence implies uniform convergence?
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7 events
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Jun 15, 2017 at 21:38 | comment | added | Christian Remling | An afterthought: A general obstacle to the property that you were hoping for is that often it will imply that $S$ is compact (because $S-S_n$ frequently is, for example in my example), so if this is false, your property can't hold. (Parts of my answer could be rephrased in those terms.) | |
Jun 15, 2017 at 0:41 | vote | accept | BaoLing | ||
Jun 15, 2017 at 0:26 | answer | added | Christian Remling | timeline score: 1 | |
Jun 14, 2017 at 23:20 | comment | added | Anthony Quas | I think your monotonicity condition implies that there exists a decreasing function $f$ so that $K(x,y)=f(\|(x,y)\|)$. | |
Jun 14, 2017 at 21:43 | history | edited | BaoLing | CC BY-SA 3.0 |
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Jun 14, 2017 at 21:37 | history | edited | BaoLing | CC BY-SA 3.0 |
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Jun 14, 2017 at 21:24 | history | asked | BaoLing | CC BY-SA 3.0 |