Geodesic
On the Convexity of the Closure of the Domain/Range of a Maximally Monotone Operator
Journal of convex analysis, Tome 29 (2022) no. 3, pp. 789-794
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We prove that a sufficient condition (due to Simons) for the convexity of the closure of the domain/range of a monotone operator is also necessary when the operator has bounded domain/range and is maximal.
Classification : 47H05, 47A65
Mots-clés : Monotone operator, maximally monotone operator, Fitzpatrick function, Simons' conditions, type (FP) 
@article{JCA_2022_29_3_JCA_2022_29_3_a8,
     author = {M. E. Verona and A. Verona},
     title = {On the {Convexity} of the {Closure} of the {Domain/Range} of a {Maximally} {Monotone} {Operator}},
     journal = {Journal of convex analysis},
     pages = {789--794},
     year = {2022},
     volume = {29},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2022_29_3_JCA_2022_29_3_a8/}
}
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M. E. Verona; A. Verona. On the Convexity of the Closure of the Domain/Range of a Maximally Monotone Operator. Journal of convex analysis, Tome 29 (2022) no. 3, pp. 789-794. http://geodesic.mathdoc.fr/item/JCA_2022_29_3_JCA_2022_29_3_a8/