Banach SSD spaces and classes of monotone sets

zbMath1215.46044arXiv0908.0383MaRDI QIDQ3066281

Stephen Simons

Publication date: 10 January 2011

Full work available at URL: https://arxiv.org/abs/0908.0383

zbMATH Keywords

convex functionmaximal monotone operatorBanach spaceFitzpatrick functionFenchel-Moreau conjugatesymmetrically self-dual space

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

Related Items (11)

New results on \(q\)-positivity ⋮ On non-enlargeable positive sets ⋮ Fifty years of maximal monotonicity ⋮ Every maximally monotone operator of Fitzpatrick-Phelps type is actually of dense type ⋮ Linear \(L\)-positive sets and their polar subspaces ⋮ The Brezis-Browder theorem in a general Banach space ⋮ Characterization of Lipschitz continuous difference of convex functions ⋮ Polar subspaces and automatic maximality ⋮ Quasidense monotone multifunctions ⋮ Construction of pathological maximally monotone operators on non-reflexive Banach spaces ⋮ SSDB spaces and maximal monotonicity

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