Generic Fréchet differentiability of convex operators
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- by Nikolai K. Kirov PDF
- Proc. Amer. Math. Soc. 94 (1985), 97-102 Request permission
Abstract:
We consider order-bounded convex operators $F:E \to X$ 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 Fréchet differentiable at the points of some dense ${G_\delta }$ subset of $E$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 94 (1985), 97-102
- MSC: Primary 46G05; Secondary 47H99, 90C25
- DOI: https://doi.org/10.1090/S0002-9939-1985-0781064-4
- MathSciNet review: 781064