A new proof of the integrability of the subdifferential of a convex function on a Banach space

Ivanov, Milen; Zlateva, Nadia

doi:10.1090/S0002-9939-08-09178-8

A new proof of the integrability of the subdifferential of a convex function on a Banach space
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by Milen Ivanov and Nadia Zlateva PDF

Proc. Amer. Math. Soc. 136 (2008), 1787-1793 Request permission

Abstract:

We provide a simple proof of the Moreau-Rockafellar theorem that a proper lower semicontinuous convex function on a Banach space is determined up to a constant by its subdifferential.

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