Best approximation of bounded functions by continuous functions (Q791778)

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scientific article; zbMATH DE number 3851675
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Best approximation of bounded functions by continuous functions
scientific article; zbMATH DE number 3851675

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    Best approximation of bounded functions by continuous functions (English)
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    1984
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    In this paper we study the question of existence of best approximants, and more generally, existence of Chebyshev centers in spaces of vector- valued bounded functions on a topological space X by means of subspaces of continuous functions. As an application, the approximation of linear operators by compact ones is studied.
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    best approximants
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    Chebyshev centers
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    vector-valued bounded functions
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