Timeline for Strictly increasing functions in reflexive subspaces of $C([0,1])$
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 6, 2019 at 20:25 | vote | accept | A. U. | ||
| Dec 1, 2019 at 17:03 | answer | added | Przemysław Wojtaszczyk | timeline score: 7 | |
| Nov 21, 2019 at 0:15 | comment | added | Bill Johnson | If $f_n$ are $C^1$ functions that vanish at $0$ and at $1$ s.t. the sup norm of their derivatives is less than $1/2$, then $t+f_n(t)$ are increasing functions. Every infinite dimensional Banach space can be isomorphically embedded into $C[0,1]$ so as to contain such a sequence that is linearly independent. | |
| Nov 20, 2019 at 7:30 | comment | added | A. U. | @BillJohnson, I am mostly interested in the isometric case, but I am curious about the isomorphic too. | |
| Nov 20, 2019 at 7:29 | history | edited | A. U. | CC BY-SA 4.0 |
added 14 characters in body
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| Nov 19, 2019 at 21:38 | comment | added | Bill Johnson | Isomorphic or isometric embedding? Isomorphic is possible. | |
| Nov 19, 2019 at 18:45 | review | First posts | |||
| Nov 19, 2019 at 18:50 | |||||
| Nov 19, 2019 at 18:40 | history | asked | A. U. | CC BY-SA 4.0 |