Contractive Korovkin subsets in weighted spaces of continuous functions
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We characterize those particular subsets of weighted spaces of continuous functions defined on locally compact Hausdorff spaces having the property that any net of positive linear contractions strongly converges to the identity operator provided it converges pointwise on them. Some variants and applications are indicated as well.
KeywordsCompact Subset Banach Lattice Radon Measure Weighted Space Compact Hausdorff Space
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