On the Proximinality of Compact Operators with Range in C(S)

DOI10.2307/2042543zbMath0402.41009OpenAlexW4251873647MaRDI QIDQ4186788

Jaroslav Mach

Publication date: 1978

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2042543

zbMATH Keywords

Best ApproximationsApproximation in Abstract SpacesProximinality of Compact Operators

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Best approximation, Chebyshev systems (41A50) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (8)

On proximinality and sets of operators. III: Approximation by finite rank operators on spaces of continuous functions ⋮ Approximation by compact operators between C(X) spaces ⋮ Best approximation in the space of bounded operators and its applications ⋮ On a certain subset of \(L_ 1(\)0,1) and non-existence of best approximation in some spaces of operators ⋮ Continuity properties of Chebyshev centers ⋮ Best approximation of bounded functions by continuous functions ⋮ Approximation by finite rank operators ⋮ Asymptotic centers and best compact approximation of operators into C(K)

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