Abstract
We study the problem of uniqueness of an element of the best L 1-approximation for continuous functions with values in a Banach space. We prove two theorems that characterize the uniqueness subspaces in terms of certain sets of test functions.
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Babenko, V.F., Gorbenko, M.E. On the uniqueness of an element of the best L 1-approximation for functions with values in a banach space. Ukr Math J 52, 29–34 (2000). https://doi.org/10.1007/BF02514134
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DOI: https://doi.org/10.1007/BF02514134