On projections and monotony in Lp -spaces
Copyright policy )On projections and monotony in Lp -spaces
In this paper we investigate the connection between the range of nearest point projections in Lp -spaces and monotony properties of the projection operator. We show e.g. that a nearest point projection onto a closed convex subset of an Lp -space (1
- DigiZeitschriften Germany
- University of Cologne Germany
- University of Konstanz Germany
510.mathematics, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Projection Operator, Lattice, Closed Convex Subset, Monotony Properties, Article, Range of Nearest Point Porjections, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
510.mathematics, Abstract approximation theory (approximation in normed linear spaces and other abstract spaces), Projection Operator, Lattice, Closed Convex Subset, Monotony Properties, Article, Range of Nearest Point Porjections, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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