Abstract
Previous examples of non-type (D) maximal monotone operators were restricted to \(\ell ^1\), \(L^1\), and Banach spaces containing isometric copies 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 \(c_0\).
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Acknowledgments
We thank the anonymous referees for the suggestions and criticism which improved this work. The work of Orestes Bueno was partially upported by CAPES-Coordenação de Aperfeiçoamento de Pessoal de Nível superior. The work of B. F. Svaiter was partially supported by CNPq-Conselho Nacional de Desenvolvimento Científico e Tecnológico grants no. 474944/2010-7, 303583/2008-8 and FAPERJ-Fundação de Amparo à Pesquisa do Estado do Rio de Janeiro grant E-26/110.821/2008.
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Dedicated to Professor J. M. Borwein on the occasion of his 60th birthday.
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Bueno, O., Svaiter, B.F. A non-type (D) operator in \(c_0\) . Math. Program. 139, 81–88 (2013). https://doi.org/10.1007/s10107-013-0661-0
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DOI: https://doi.org/10.1007/s10107-013-0661-0