Timeline for Subspaces of $L_{p}(2<p<\infty)$
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 30, 2016 at 8:30 | comment | added | Gideon Schechtman | No. $L_p$ contains a subspace isometric to $\ell_r$, for every $p<r<2$. This was first observed by M. Kadec and follows easily from the existence and properties of $r$ stable random variables, due to P. Levy. | |
| Jun 30, 2016 at 0:26 | comment | added | Dongyang Chen | Let $1<p<2$. Let $X$ be a subspace of $L_{p}$ that contains no isomorphic copy of $l_{p}$. Does $X$ contain for every $\epsilon>0$ a subspace that is $(1+\epsilon)$-isomorphic to $l_{2}$? | |
| Jun 30, 2016 at 0:08 | vote | accept | Dongyang Chen | ||
| Jun 29, 2016 at 23:45 | history | answered | Bill Johnson | CC BY-SA 3.0 |