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Generic Fréchet Differentiability of Convex Operators

Nikolai K. Kirov
Proceedings of the American Mathematical Society
Vol. 94, No. 1 (May, 1985), pp. 97-102
DOI: 10.2307/2044959
Stable URL: http://www.jstor.org/stable/2044959
Page Count: 6
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Generic Fréchet Differentiability of Convex Operators
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Abstract

We consider order-bounded convex operators F: E → X from a reflexive Banach space E into a Banach lattice X. In both cases (i) X and X* have weak compact intervals, and (ii) X has norm compact intervals, we obtain that F is Frechet differentiable at the points of some dense Gδ subset of E.

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