Journal of Convex Analysis 20 (2013), No. 1, 301--305
Copyright Heldermann Verlag 2013
A Non-Type (D) Linear Isometry
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
Previous constructions of non-type (D) maximal monotone operators were based on the non-type (D) operators introduced by Gossez, and the construction of such operators or the proof that they were non-type (D) were not straightforward. The aim of this paper is to present a very simple non-type (D) linear isometry.
Keywords: Monotone operators, non-reflexive Banach spaces, type (D).
MSC: 47H05, 49J52, 47N10
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