A non-type (D) operator in \(c_0\)

DOI10.1007/s10107-013-0661-0zbMath1286.47035arXiv1103.2349OpenAlexW2593473069WikidataQ57917795 ScholiaQ57917795MaRDI QIDQ353163

Orestes Bueno, Benar Fux Svaiter

Publication date: 12 July 2013

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2349

zbMATH Keywords

maximal monotone operatorBanach spaceextensionbidual non-reflexive spacetype (D)

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Monotone operators and generalizations (47H05) Set-valued operators (47H04)

Related Items (3)

A stand-alone analysis of quasidensity ⋮ The sum of a maximally monotone linear relation and the subdifferential of a proper lower semicontinuous convex function is maximally monotone ⋮ Construction of pathological maximally monotone operators on non-reflexive Banach spaces

Cites Work

• Fifty years of maximal monotonicity
• Maximal monotonicity of dense type, local maximal monotonicity, and monotonicity of the conjugate are all the same for continuous linear operators
• Some properties of maximal monotone operators on nonreflexive Banach spaces
• The range of a monotone operator
• Linear monotone subspaces of locally convex spaces
• Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs. (Nonlinear monotone operators on nonreflexive Banach spaces)
• On Gossez type (D) maximal monotone operators
• A maximal monotone operator of type (D) which maximal monotone extension to the bidual is not of type (D)
• On a Convexity Property of the Range of a Maximal Monotone Operator
• On the Extensions to the Bidual of a Maximal Monotone Operator
• On the Range of a Coercive Maximal Monotone Operator in a Nonreflexive Banach Space

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