De Branges type lemma and approximation in weighted spaces

DOI10.1007/s00009-021-01764-yzbMath1473.41001OpenAlexW3159044989WikidataQ124802487 ScholiaQ124802487MaRDI QIDQ2028561

Yanyan Li

Publication date: 1 June 2021

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01764-y

zbMATH Keywords

extreme pointpolar setconvex conedual spaceweighted spaceordered idealNachbin familyantialgebraic set with respect to a pair \((\mathcal{M},\mathcal{W})\)antisymmetric set with respect to a pair \((\mathcal{M},\mathcal{W})\) or \((\mathcal{C}, \mathcal{M})\)antisymmetric set with respect to an algebraradon measure

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Approximation by polynomials (41A10) Weighted approximation (41A81)

Related Items (3)

On the dual of a weighted space of vector functions and some approximation results ⋮ On the stability of positive semigroups ⋮ Approximation in weighted spaces of vector functions

Cites Work

• Some density theorems in the set of continuous functions with values in the unit interval
• Weighted approximation for algebras and modules of continuous functions. Real and self-adjoint complex cases
• Bishop's generalized Stone-Weierstraß theorem for weighted spaces
• Espaces de fonctions ponderables
• The Stone-Weierstrass Theorem
• A generalized Bernstein approximation theorem
• Dual Spaces of Weighted Spaces
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