Summary
J. C. Mairhuber has given a topological characterization of those compact spaces in which Haar's problem of best approximation may have a unique solution. Under certain restrictive conditions a similar characterization is given here for the case of the complex field investigated by Kolmogroff.
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To Enrico Bompiani on his scientific Jubilee.
The paper was prepared while the second named author received support from the Office of Ordnance Research.
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Schoenberg, I.J., Yang, C.T. On the unicity of solutions of problems of best approximation. Annali di Matematica 54, 1–12 (1961). https://doi.org/10.1007/BF02415339
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DOI: https://doi.org/10.1007/BF02415339