Abstract
We show that the unit ball K of the bidual of an Asplund space is a Corson compact or contains [0,ω 1], and that it has the Namioka property on separate-to-joint continuity. The same results are shown for K a Valdivia compact; a by-product is that all dyadic compacts have the Namioka property. Some connections with weakly compactly generated dual spaces and renormings are given.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 183-199 |
| Number of pages | 17 |
| Journal | Proceedings of the London Mathematical Society |
| Volume | s3-67 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 1993 |
| Externally published | Yes |