Timeline for Continuous projections in $\ell_1$ with norm $>1$
Current License: CC BY-SA 3.0
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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| Jul 2, 2012 at 23:02 | comment | added | Bill Johnson | I guess you know that every complemented subspace of $\ell_1(S)$ is isomorphic to $\ell_1(T)$ for some $T$. Dor proved that every copy of $\ell_1(T)$ in an $L_1$ space has big disjoint pieces: On projections in L1. Ann. of Math. (2) 102 (1975), no. 3, 463–474. IIRC, Dor also showed gave an equivalence for an $\ell_1$ subspace of an $L_1$ space to be complemented. This might be in Bourgain's paper that gives an example of a subspace of $L_1$ that is isomorphic to $\ell_1$ but is not complemented. | |
| Jul 2, 2012 at 11:51 | history | asked | Norbert | CC BY-SA 3.0 |