Characterization of \(L^1\)-closed decomposable sets in \(L^\infty\)

DOI10.1006/jmaa.1999.6531zbMath0941.46015OpenAlexW1991463833MaRDI QIDQ1125307

Zsolt Páles, Vera Zeidan

Publication date: 7 August 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1999.6531

zbMATH Keywords

set-valued mapsdecomposable setsconvexity propertiespolar conessupport functionals\(L^\infty\)-selection

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Set-valued operators (47H04)

Related Items (8)

Second-order sufficient optimality conditions for an optimal control problem with mixed constraints ⋮ On the second-order optimality conditions for multi-objective optimal control problems with mixed pointwise constraints ⋮ Continuous selection theorems for nonlower semicontinuous multifunctions. ⋮ Regularity of multipliers for multiobjective optimal control problems governed by evolution equations ⋮ Second-order optimality conditions and regularity of Lagrange multipliers for mixed optimal control problems ⋮ Second-order necessary optimality conditions for an optimal control problem ⋮ Regularity of multipliers in second-order optimality conditions for semilinear elliptic control problems ⋮ Second-order necessary optimality conditions for an optimal control problem with nonlinear state equations

Cites Work

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• Convex analysis and measurable multifunctions
• Integrals, conditional expectations, and martingales of multivalued functions
• Integrals which are convex functionals
• Integrals which are convex functionals. II
• Nonsmooth Optimum Problems with Constraints
• Another Proof that Convex Functions are Locally Lipschitz

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