De Branges type lemma and approximation in weighted spaces (Q2028561)

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scientific article; zbMATH DE number 7353310
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De Branges type lemma and approximation in weighted spaces
scientific article; zbMATH DE number 7353310

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    De Branges type lemma and approximation in weighted spaces (English)
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    1 June 2021
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    Some generalizations of de Branges lemma for weighted spaces are given, and different approximation theorems in weighted spaces for algebras, vector subspaces or convex cones are obtained.
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    Nachbin family
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    weighted space
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    radon measure
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    dual space
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    polar set
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    extreme point
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    convex cone
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    ordered ideal
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    antisymmetric set with respect to an algebra
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    antisymmetric set with respect to a pair \((\mathcal{M},\mathcal{W})\) or \((\mathcal{C}, \mathcal{M})\)
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    antialgebraic set with respect to a pair \((\mathcal{M},\mathcal{W})\)
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