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

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. https://doi.org/10.68381/jca19017

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Published by Heldermann Verlag, 2012. Rights now held by Banach Press.