A non-type (D) operator in c0

2011/03/11 by Orestes Bueno, B. F. Svaiter, Bueno, Orestes +1 · 1 citation
Mathematics · #46T99 #47H05 #47N10 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #math.FA #msc:46T99 #msc:47H05 #msc:47N10

paper · pdf · doi:10.48550/arxiv.1103.2349

arxiv created 2011/03/11 · openalex publication_date 2011/03/11 · arxiv updated 2011/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Previous examples of non-type (D) maximal monotone operators were restricted to ℓ¹, L¹, and Banach spaces containing isometriccopies of these spaces. This fact led to the conjecture that non-type (D) operators were restricted to this class of Banach spaces. We present a linear non-type (D) operator in c₀.

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