A non-type (D) operator in c0

Published 11 Mar 2011 in math.FA | (1103.2349v1)

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 $c_0$.

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