A Maximal Monotone Operator of Type (D) for which Maximal Monotone Extension to the Bidual is Not of Type (D)

Orestes Bueno; Benar Fux Svaiter

Abstract

We define a family of linear type (D) operators for which the inverse of their maximal monotone extensions to the bidual are not of type (D) and provide an example of an operator in this family.

Author information

Contact details are reproduced from the original publication and may be historical.

Orestes Bueno

Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro, RJ 22460-320, Brazil

obueno@impa.br

Benar Fux Svaiter

Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro, RJ 22460-320, Brazil, Brazil

benar@impa.br

Keywords

Maximal monotone operator
type (D)
Banach space
extension
bidual

Suggested citation

O. Bueno, B. F. Svaiter. “A Maximal Monotone Operator of Type (D) for which Maximal Monotone Extension to the Bidual is Not of Type (D).” Journal of Convex Analysis 19 (2012), No. 1, 295–300.