Abstract

Let (T,T)(T,\mathcal{T}) be an arbitrary measurable space, X a Banach space whose dual X∗X^* is strongly separable and f an integrand defined on T × X. If f is normal in the sense of Rockafellar [18], then the conjugate integrand f∗f^* is normal. Moreover the subdifferential multifunction is Effros (or weakly) measurable. These results extend those of Rockafellar [18] and of Hess [6], and provide an alternate approach to that of Beer [2].

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Christian Hess

Ceremade (URA CNRS 749), Université Paris Dauphine, 75775 Paris Cedex 16, France.

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Suggested citation

C. Hess. “On the Measurability of the Conjugate and the Subdifferential of a Normal Integrand.” Journal of Convex Analysis 2 (1995), No. 1&2, 153–165. https://doi.org/10.68381/jca02010

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Published by Heldermann Verlag, 1995. Rights now held by Banach Press LLC.