On Gossez type (D) maximal monotone operators

Details On Gossez type (D) maximal monotone operators On Gossez type (D) maximal monotone operators

2009-03-30

arxiv.org/abs/0903.5332v2

Mathematics

Functional Analysis

Added one reference. Added Corollary 4.3, which is a trivial, but interesting, consequence of Lemma 4.1 and Theorem 4.2

Scientific paper

Gossez type (D) operators are defined in non-reflexive Banach spaces and share with the subdifferential a topological related property, characterized by bounded nets. In this work we present new properties and characterizations of these operators. The class (NI) was defined after Gossez defined the class (D) and seemed to generalize the class (D). One of our main results is the proof that these classes, type (D) and (NI), are identical.

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