Gossez’s skew linear map and its pathological maximally monotone multifunctions
Copyright policy )Gossez’s skew linear map and its pathological maximally monotone multifunctions
In this note, we give a generalization of Gossez’s example of a maximally monotone multifunction such that the closure of its range is not convex, using more elementary techniques than in Gossez’s original papers. We also discuss some new properties of Gossez’s skew linear operator and its adjoint.
- UNIVERSITY OF CALIFORNIA United States
- University of California United States
- University of California United States
- University of California United States
- University of California, Santa Barbara United States
Mathematics - Functional Analysis, Applied Mathematics, duality map, Pure mathematics, FOS: Mathematics, 47H05, 47N10, 46A20, 46A22, Skew linear operator, maximal monotonicity, Pure Mathematics, Mathematical Sciences, Functional Analysis (math.FA)
Mathematics - Functional Analysis, Applied Mathematics, duality map, Pure mathematics, FOS: Mathematics, 47H05, 47N10, 46A20, 46A22, Skew linear operator, maximal monotonicity, Pure Mathematics, Mathematical Sciences, Functional Analysis (math.FA)
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