Abstract

Let E be a nontrivial Banach space. The concept of ‘picture’ has been used to provide a new proof of the surjectivity of S+J, for E reflexive and S: E→2E* maximal monotone. It is known that if E is reflexive, then the picture of a maximal monotone subset of E×E* is a singleton. We calculate an example showing that in the nonreflexive case, the picture of a maximal monotone subset can be quite substantial.

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