A dual differentiation space without an equivalent locally uniformly rotund norm
2004 ◽
Vol 77
(3)
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pp. 357-364
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Keyword(s):
AbstractA Banach space (X, ∥ · ∥) is said to be a dual differentiation space if every continuous convex function defined on a non-empty open convex subset A of X* that possesses weak* continuous subgradients at the points of a residual subset of A is Fréchet differentiable on a dense subset of A. In this paper we show that if we assume the continuum hypothesis then there exists a dual differentiation space that does not admit an equivalent locally uniformly rotund norm.
1982 ◽
Vol 32
(1)
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pp. 134-144
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1995 ◽
Vol 52
(1)
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pp. 161-167
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1992 ◽
Vol 46
(1)
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pp. 67-79
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2019 ◽
Vol 99
(03)
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pp. 467-472
Keyword(s):
2008 ◽
Vol 11
(4)
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pp. 403-413
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Keyword(s):
1984 ◽
Vol 20
(5)
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pp. 521-530
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