Bronsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces

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dc.creatorAlves, M. Marques
dc.creatorSvaiter, B. F.
dc.date2008-02-13
dc.date.accessioned2026-07-07T12:58:18Z
dc.date.available2026-07-07T12:58:18Z
dc.descriptionIn this work we are concerned with maximality of monotone operators representable by certain convex functions in non-reflexive Banach spaces. We also prove that these maximal monotone operators satisfy a Bronsted-Rockafellar type property. We show that if a function in XxX^* and its conjugate are above the duality product in their respective domains, then this function represents a maximal monotone operator.
dc.descriptionextends to non-reflexive Banach space a previous result proved in reflexive Banach spaces
dc.identifierhttps://arxiv.org/abs/0802.1895
dc.identifierhttp://arxiv.org/abs/0802.1895
dc.identifierJournal of Convex Analysis, 15 (2008), No. 4, 693-706.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225197
dc.subjectFunctional Analysis
dc.subjectAnalysis of PDEs
dc.subject47H05; 49J52; 47N10
dc.titleBronsted-Rockafellar property and maximality of monotone operators representable by convex functions in non-reflexive Banach spaces
dc.typetext

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