Journal of Convex Analysis 19 (2012), No. 1, 295--300
Copyright Heldermann Verlag 2012
A Maximal Monotone Operator of Type (D) for which Maximal Monotone Extension to the Bidual is Not of Type (D)
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
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.
Keywords: Maximal monotone operator, type (D), Banach space, extension, bidual.
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