Timeline for $\ell^1$ predual with no $c_0$ quotient?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jan 31, 2023 at 22:37 | comment | added | Bill Johnson | Correct, although this follows formally from the Josephson-Nissenzwieg theorem and my paper with Rosenthal. | |
| Jan 31, 2023 at 20:15 | comment | added | Onur Oktay | Professor Johnson, thank you truly for your answer. I must admit I hadn't read your paper you've referenced carefully enough. To redeem my shortcoming: I believe the first corollary in your 1977 paper with Hagler imply that any predual $X$ of $\ell^1(\Gamma)$ for an arbitrary set $\Gamma$ has quotients isomorphic to $c_0$, for $\ell^1(\Gamma)$ has RNP so $X$ cannot contain a copy of $\ell^1$. | |
| Jan 31, 2023 at 20:15 | vote | accept | Onur Oktay | ||
| Jan 31, 2023 at 17:04 | history | answered | Bill Johnson | CC BY-SA 4.0 |