Timeline for A hyperplane separation question
Current License: CC BY-SA 4.0
6 events
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Oct 25, 2019 at 8:05 | comment | added | Jochen Glueck | @TomGoodwillie: Thank you very much for your comment! I changed the remark at the end of my post accordingly and referred to your comment for a counterexample on $C^1([0,1])$. | |
Oct 25, 2019 at 8:03 | history | edited | Jochen Glueck | CC BY-SA 4.0 |
Added additional information from a comment.
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Oct 24, 2019 at 23:47 | comment | added | Tom Goodwillie | Oh, here is an example for the case of [0,1]. For 0≤𝑥≤1 let 𝑑𝑥∈𝑋∗ be defined by <𝑑𝑥,𝑓>=𝑓′(𝑥). Also define 𝑒∈𝑋∗ by <𝑒,𝑓>=𝑓(0)−𝑓(1). There is no 𝑓 on which all of these are strictly positive, but if you delete some of them then there is such an 𝑓. | |
Oct 24, 2019 at 14:43 | comment | added | Tom Goodwillie | Thank you! And your Remark is very interesting. | |
Oct 24, 2019 at 14:32 | vote | accept | Tom Goodwillie | ||
Oct 24, 2019 at 6:43 | history | answered | Jochen Glueck | CC BY-SA 4.0 |