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'Banach-Krein-Smulian theorem'
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| Title of object: |
Banach-Krein-Smulian theorem |
| Canonical Name: |
BanachKreinSmulianTheorem |
| Type: |
Theorem |
| Created on: |
2005-05-08 17:52:28 |
| Modified on: |
2005-05-08 17:57:06 |
| Classification: |
msc:46H05 |
Preamble:
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Content:
| Let E be a Banach space and $C\subset E^*$, a convex subset of dual of E.If $C\bigcap \{nB_{E^*}\}$, $\forall n\geq 1$ is closed set for weak^*-topology,$\sigma(E^*,E)$ then C is close for weak^*-topology,$\sigma (E^*,E)$. |
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