Gossez’s skew linear map and its pathological maximally monotone multifunctions

Simons, Stephen

doi:10.1090/proc/14547

Gossez’s skew linear map and its pathological maximally monotone multifunctions
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Proc. Amer. Math. Soc. 147 (2019), 4355-4361 Request permission

Abstract:

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.

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