On proximinality and sets of operators. I. Best approximation by finite rank operators

DOI10.1016/0021-9045(86)90038-9zbMath0596.41048OpenAlexW2026180279MaRDI QIDQ1078453

Aref Kamal

Publication date: 1986

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(86)90038-9

zbMATH Keywords

continuous selectionproximinality

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (5)

On proximinality and sets of operators. II: Nonexistence of best approximation from the sets of finite rank operators ⋮ On proximinality and sets of operators. III: Approximation by finite rank operators on spaces of continuous functions ⋮ Selections of the best and near-best approximation operators and solarity ⋮ Bounded contractibility of strict suns in three-dimensional spaces ⋮ An approximation property and the sphere of \(L_1\)

Cites Work

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• Approximation by finite rank operators
• Approximation des bornes d'un espace Banach par des compacts et applications à l'approximation des opérateurs bornes
• Approximation by continuous vector valued functions
• Best n -Dimensional Approximation to Sets of Functions

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