Timeline for Sufficient condition for asymptotic-$\ell_{p}$ in terms of spreading models?
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Sep 14, 2020 at 16:38 | comment | added | Bunyamin Sari | You also want to ask copies of $\ell^n_p$'s as blocks in the space, otherwise you can always find them in $\ell_1$ for $p\le 2$. | |
| Sep 14, 2020 at 16:30 | comment | added | Bunyamin Sari | You need to be more specific. It is trivial to give counterexample to this. Take $\ell_1$-sum of $\ell^n_p$'s, $\left(\sum_n \ell^n_p\right)_{\ell_1}$ | |
| Sep 14, 2020 at 5:18 | comment | added | JWP_HTX | Thanks for your helpful answer! As it happens, I am interested in Banach spaces that are known to admit $\ell_{1}$ as a unique spreading model and that (I believe) cannot contain $\ell_{p}^{n}$'s. | |
| Sep 13, 2020 at 14:58 | vote | accept | JWP_HTX | ||
| Sep 12, 2020 at 13:52 | history | answered | Bunyamin Sari | CC BY-SA 4.0 |