De Branges type lemma and approximation in weighted spaces
type: Item
instance of: scholarly article
title: De Branges type lemma and approximation in weighted spaces
zbMATH Open document ID: 1473.41001
author: Yanyan Li
published in: Mediterranean Journal of Mathematics
publication date: 2021-06-01T00:00:00Z
review text: 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.
reviewed by: Zoltán Finta
Mathematics Subject Classification ID: 41A10
Mathematics Subject Classification ID: 41A81
Mathematics Subject Classification ID: 46J10
zbMATH DE Number: 7353310
zbMATH Keywords: Nachbin family
zbMATH Keywords: weighted space
zbMATH Keywords: radon measure
zbMATH Keywords: dual space
zbMATH Keywords: polar set
zbMATH Keywords: extreme point
zbMATH Keywords: convex cone
zbMATH Keywords: ordered ideal
zbMATH Keywords: antisymmetric set with respect to an algebra
zbMATH Keywords: antisymmetric set with respect to a pair \((\mathcal{M},\mathcal{W})\) or \((\mathcal{C}, \mathcal{M})\)
zbMATH Keywords: antialgebraic set with respect to a pair \((\mathcal{M},\mathcal{W})\)
MaRDI profile type: Publication
full work available at URL: s00009-021-01764-y
OpenAlex ID: W3159044989
Wikidata QID: Q124802487
cites work: The Stone-Weierstrass Theorem
cites work: Espaces de fonctions ponderables
cites work: Weighted approximation for algebras and modules of continuous functions. Real and self-adjoint complex cases
cites work: Bishop's generalized Stone-Weierstraß theorem for weighted spaces
cites work: A generalized Bernstein approximation theorem
cites work: Q3762792
cites work: Q4172474
cites work: Some density theorems in the set of continuous functions with values in the unit interval
cites work: Dual Spaces of Weighted Spaces
DOI: 10.1007/S00009-021-01764-Y
description: scientific article; zbMATH DE number 7353310