A non-type (D) operator in c0

Previous examples of non-type (D) maximal monotone operators were restricted to ${\mathrm{\ell }}^1$, $L^1$, 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 $c_0$.