On maximal monotone operators with relatively compact range
Dariusz Zagrodny (2010)
Czechoslovak Mathematical Journal
Similarity:
It is shown that every maximal monotone operator on a real Banach space with relatively compact range is of type NI. Moreover, if the space has a separable dual space then every maximally monotone operator can be approximated by a sequence of maximal monotone operators of type NI, which converge to in a reasonable sense (in the sense of Kuratowski-Painleve convergence).