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A Dual characterization of Banach Spaces With the Convex Point-of-Continuity Property
Published online by Cambridge University Press: 20 November 2018
Abstract
We 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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- Copyright © Canadian Mathematical Society 1989
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