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The picture of a specific maximal monotone set
Authors:M Coodey
Institution:(1) Department of Mathematics, University of California, 93106-3080 Santa Barbara, CA, USA
Abstract:Let E be a nontrivial Banach space. The concept of lsquopicturersquo has been used to provide a new proof of the surjectivity of S+J, for E reflexive and S: Erarr2 E * 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.
Keywords:47H05
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