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A remark on coapproximation. (English) Zbl 0830.46009

Summary: We show that the cometric projection \(R_Y\) admits a linear selection when \(Y\) is 1-dimensional or 1-codimensional and a finite dimensional subspace of a Banach space may be non-coproximinal.

MSC:

46B20 Geometry and structure of normed linear spaces
41A50 Best approximation, Chebyshev systems
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