On proximinality and sets of operators. II: Nonexistence of best approximation from the sets of finite rank operators

DOI10.1016/0021-9045(86)90039-0zbMath0602.41036OpenAlexW2091143052MaRDI QIDQ1081776

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)90039-0

zbMATH Keywords

compact Hausdorff spaceproximinal set

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by operators (in particular, by integral operators) (41A35) Linear spaces of operators (47L05)

Related Items (2)

On proximinality and sets of operators. III: Approximation by finite rank operators on spaces of continuous functions ⋮ An approximation property and the sphere of \(L_1\)

Cites Work

• Approximation by finite rank operators
• On proximinality and sets of operators. I. Best approximation by finite rank operators
• On a certain subset of \(L_ 1(\)0,1) and non-existence of best approximation in some spaces of operators
• Approximation by compact operators on certain Banach spaces
• Best n -Dimensional Approximation to Sets of Functions

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