Timeline for separability of a certain space of continuous functions, II
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 3, 2011 at 13:25 | comment | added | TaQ | All but one of the functions $\sum a_nf_n$ of Theo Buehler have "teeth" on the boundary of $B$ . This is not a flaw here, but if for some reason one wished smooth functions which are zero on the boundary, one might prefer something like $f_n(x)=\exp\,\big(\,1+(\,9\,\|\,x-\frac 12\,e_n\|^{\,2}-1){}^{-1}\big)$ for $\|\,x-\frac 12\,e_n\|<\frac13$ , and $f_n(x)=0$ otherwise. Here $x\mapsto\|x\|$ must be the inner product norm. | |
| Feb 2, 2011 at 19:30 | history | edited | Theo Buehler | CC BY-SA 2.5 |
edited body
|
| Feb 2, 2011 at 18:23 | vote | accept | Orbicular | ||
| Feb 2, 2011 at 17:59 | history | answered | Theo Buehler | CC BY-SA 2.5 |