Mosco approximation of integrands and integral functionals
Copyright policy )Mosco approximation of integrands and integral functionals
Summary: We show that given a lower semi-continuous convex integrand \(f\), satisfying a suitable integrability condition, there exists a sequence of Lipschitz simple integrands which Mosco converges to \(f\) and such that the sequence of conjugate integrands Mosco converges to \(f^*\). Moreover, this sequence can be chosen so that the associated integral functionals defined respectively on \(L^1(X)\) and \(L^\infty(X^*)\) Mosco converge too.
- Paris Dauphine University France
Wijsman topology, Integral operators, Mosco convergence, Derivatives of functions in infinite-dimensional spaces, Methods involving semicontinuity and convergence; relaxation, Convex sets in topological linear spaces; Choquet theory, Applications of operator theory in optimization, convex analysis, mathematical programming, economics, approximation of integral functionals, lower semi-continuous convex integrand, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Mosco converges
Wijsman topology, Integral operators, Mosco convergence, Derivatives of functions in infinite-dimensional spaces, Methods involving semicontinuity and convergence; relaxation, Convex sets in topological linear spaces; Choquet theory, Applications of operator theory in optimization, convex analysis, mathematical programming, economics, approximation of integral functionals, lower semi-continuous convex integrand, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Mosco converges
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!