Sätze vom Bohman-Korovkin-Typ für lokalkonvexe Vektorverbände
Bohman–Korovkin type theorems for locally convex vector lattices
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https://doi.org/10.33993/jnaat441-1061Keywords:
Korovkin-type theorem, approximation of lattice homomorphisms, positive linear operators, Banach function spaces.Abstract
Two Korovkin-type theorems inspired by the work of Scheffold are given concerning the approximation of a continuous lattice homomorphism \(P\) by a sequence of certain positive linear operators \(T_n\). The first result is used to prove a generalization of a proposition of Muller dealing with approximation in Banach function spaces.
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