Approximation by compact operators between C(X) spaces (Q1089856)

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scientific article; zbMATH DE number 4006910
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Approximation by compact operators between C(X) spaces
scientific article; zbMATH DE number 4006910

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    Approximation by compact operators between C(X) spaces (English)
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    1987
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    The work is devoted to the problem of determining whether K(E,F), the space of compact operators from a Banach space E to a Banach space F, is proximinal in B(E,F), the corresponding space of bounded linear operators. In particular, this problem for the case when \(E=C(x)\) and \(F=C(y)\) are the usual function spaces over compact Hausdorff spaces x and y is solved.
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    proximinal space
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    compact operators
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