A non-type (D) operator in c0

Abstract

Previous examples of non-type (D) maximal monotone operators were restricted to ${\ell }^1$, $L^1$, and Banach spaces containing isometriccopies of these spaces. This fact led to the conjecture that non-type (D) operators were restricted to this class of Banach spaces. We present a linear non-type (D) operator in $c_0$.

Cited by in corpus (1)

• For maximally monotone linear relations, dense type, negative-infimum type, and Fitzpatrick-Phelps type all coincide with monotonicity of the adjoint