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A new proof of the integrability of the subdifferential of a convex function on a Banach space
Authors:Milen Ivanov   Nadia Zlateva
Affiliation:Faculty of Mathematics and Informatics, University of Sofia, 5, James Bourchier Blvd., 1164 Sofia, Bulgaria ; Faculty of Mathematics and Informatics, University of Sofia, 5, James Bourchier Blvd., 1164 Sofia, Bulgaria
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.

Keywords:Convex function   subdifferential
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