Timeline for Are there non-reflexive modules isomorphic to their bi-dual?
Current License: CC BY-SA 3.0
4 events
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| Sep 21, 2011 at 1:28 | answer | added | GMark | timeline score: 14 | |
| Sep 21, 2011 at 0:23 | comment | added | Graham Leuschke | For finitely generated modules over a Noetherian ring, no such examples exist. A student of Huneke proved this around 2004, but I don't think he ever published it. (It's possible it was already known at that time, but I never found a reference.) | |
| Sep 20, 2011 at 21:51 | comment | added | Faisal |
Yes. In fact there is an example of a Banach space $J$ (the James space) that is isometrically isomorphic to $J^{\ast\ast}$ but for which the image of $J \to J^{\ast\ast}$ has codimension 1. See mathoverflow.net/questions/43986/…
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| Sep 20, 2011 at 21:37 | history | asked | Berry | CC BY-SA 3.0 |