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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
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2044959
Page Count: 6
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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.
Proceedings of the American Mathematical Society © 1985 American Mathematical Society