A Dual characterization of Banach Spaces With the Convex Point-of-Continuity Property
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AbstractWe introduce a new type of differentiability, called cofinite Fréchet differentiability. We show that the convex point-of-continuity property of Banach spaces is dual to the cofinite Fréchet differentiability of all equivalent norms. A corresponding result for dual spaces with the weak* convex point-of-continuity property is also established.
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pp. 734-740
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pp. 4243-4245
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pp. 193-193
2014 ◽
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pp. 515-517
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