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Some extensions of a dual of the Hahn-Banach Theorem, with applications to separation and Helly type theorems
Published online by Cambridge University Press: 17 April 2009
Abstract
In previous papers we have proved that if G is a ω*-closed subspace of the conjugate space B* of a normed linear space B, then every b ∈ B can be extended within B, from G to the whole B*, with an arbitrarily small increase of the norm. Here we give some extensions of this result to the case when B* is replaced by a normed linear space E and B by any linear subspace V of E*, and some applications to separation and Helly type theorems.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 15 , Issue 2 , October 1976 , pp. 277 - 291
- Copyright
- Copyright © Australian Mathematical Society 1976
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