A maximal monotone operator of type (D) which maximal monotone extension to the bidual is not of type (D)

2011/03/02 by Orestes Bueno, B. F. Svaiter, Bueno, Orestes +1
Mathematics · #46T99 #47H05 #47N10 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46T99 #msc:47H05 #msc:47N10

paper · pdf · doi:10.48550/arxiv.1103.0545

arxiv created 2011/03/02 · openalex publication_date 2011/03/02 · arxiv updated 2011/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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