On strongly exposing functionals
1976 ◽
Vol 21
(3)
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pp. 362-367
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AbstractLet X be a real Banach space and let K be a bounded closed convex subset of X. We prove that the set of strongly exposing functions K^ of K is a (norm) dense G8 in X* if and only if for any bounded closed convex subset C such that K⊄C, there exists a point x in K which is a strongly exposed point of conv (C ∪ K). As an application, we show that if X* is weakly compact generated, then for any weakly compact subset K in X, the set K^ is a dense G8 in X*.
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1976 ◽
Vol 19
(1)
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pp. 7-12
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1984 ◽
Vol 37
(3)
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pp. 358-365
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2015 ◽
Vol 9
(6)
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pp. 492-497
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2004 ◽
Vol 70
(3)
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pp. 463-468
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2002 ◽
Vol 85
(3)
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pp. 742-768
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