Geodesic
The Class of Functionals which can be Represented by a Supremum
Journal of convex analysis, Tome 9 (2002) no. 1, pp. 225-236

Voir la notice de l'article provenant de la source Heldermann Verlag

We give a characterization of all lower semicontinuous functionals on Lm¥ which can be represented in the form m-sup{ f(x, u) : x from A }. We also show by a counterexample that the representation above may fail if the lower semicontinuity condition is dropped.
Classification : 46E30, 28A20, 60B12
Mots-clés : Performance function, multipliers, stability, convex like functions, measurable integrands, richness, integral functional, growth conditions 
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     title = {The {Class} of {Functionals} which can be {Represented} by a {Supremum}},
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E. Acerbi; G. Buttazzo; F. Prinari. The Class of Functionals which can be Represented by a Supremum. Journal of convex analysis, Tome 9 (2002) no. 1, pp. 225-236. http://geodesic.mathdoc.fr/item/JCA_2002_9_1_JCA_2002_9_1_a9/