Maximal monotonicity, conjugation and the duality product in non-reflexive Banach spaces

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dc.creatorAlves, M. Marques
dc.creatorSvaiter, B. F.
dc.date2008-09-23
dc.date.accessioned2026-07-07T10:04:40Z
dc.date.available2026-07-07T10:04:40Z
dc.descriptionMaximal monotone operators on a Banach space into its dual can be represented by convex functions bounded below by the duality product. It is natural to ask under which conditions a convex function represents a maximal monotone operator. A satisfactory answer, in the context of reflexive Banach spaces, has been obtained some years ago. Recently, a partial result on non-reflexive Banach spaces was obtained. In this work we study some others conditions which guarantee that a convex function represents a maximal monotone operator in non-reflexive Banach spaces.
dc.identifierhttps://arxiv.org/abs/0809.3911
dc.identifierhttp://arxiv.org/abs/0809.3911
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169760
dc.subjectFunctional Analysis
dc.subjectOptimization and Control
dc.subject47H05; 49J52; 47N10.
dc.titleMaximal monotonicity, conjugation and the duality product in non-reflexive Banach spaces
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