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Regularizations in abelian complete ordered groups

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Publication:1161958
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DOI10.1016/0022-247X(81)90178-5zbMath0479.46003MaRDI QIDQ1161958

Michel Volle

Publication date: 1981

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


zbMATH Keywords

monotone functionsordered topological vector spaceconjugate mappingsabelian complete ordered group-valued functionsenvelopes of sets and functionsorder convex hullphi-convexity


Mathematics Subject Classification ID

Duality theory for topological vector spaces (46A20) Ordered topological linear spaces, vector lattices (46A40)


Related Items

Applications sous-linéaires à valeurs dans un espace de fonction continues. (Sublinear mappings with values in a space of continuous functions) ⋮ Dualities



Cites Work

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  • Groupes et anneaux reticules
  • Inf-convolution, sous-additivite, convexite des fonctions numériques
  • Sur la fonction d'appui des ensembles convexes dans un espace localement convexe
  • Convexification of conjugate functions.
  • An Extension of Duality-Stability Relations to Nonconvex Optimization Problems
  • On $\Phi $-Convexity in Extremal Problems
  • Zur theorie der polarfunktionale


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