Timeline for Is the restriction map $C^1\ni f\mapsto\left.f\right|_K$ a continuous map?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Oct 14, 2020 at 18:32 | comment | added | DCM | Upvoted because I like the paper :) | |
| Oct 11, 2020 at 9:59 | history | edited | David Roberts♦ | CC BY-SA 4.0 |
Paper title and formatting
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| Oct 11, 2020 at 8:10 | history | edited | Jochen Wengenroth | CC BY-SA 4.0 |
fixed grammar
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| Oct 10, 2020 at 18:45 | comment | added | Jochen Wengenroth | Yes, I understood that you mean the spaces of restrictions where it is no difference whether you can extend to some open set or to $\mathbb R^d$ -- just multiply with a cut-off function. But this space isn't Banach in general with the norm you describe. | |
| Oct 10, 2020 at 18:42 | history | edited | Jochen Wengenroth | CC BY-SA 4.0 |
replaced absolute value by restriction
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| Oct 10, 2020 at 16:54 | comment | added | 0xbadf00d | What I mean by $C^1(K,E)$ is the space of functions $K\to E$ which admit continuously differentiable extensions to an open neighborhood of $K$ and I endow this space with $\left\|f\right\|_{C^1(K,\:E)}:=\max\left(\sup_{x\in K}\left\|f(x)\right\|_E,\sup_{x\in K}\left\|{\rm D}f(x)\right\|_{\mathfrak L(E)}\right)$. | |
| Oct 10, 2020 at 16:09 | history | answered | Jochen Wengenroth | CC BY-SA 4.0 |