Best approximation in the space of continuous vector-valued functions (Q1103139)

\textit{S. Tanimoto} [J. Approximation Theory 45, 1-10 (1985; Zbl 0578.41032)] has deduced characterization theorems for best approximations by finite-dimensional linear subspaces in the space of continuous vector- valued functions from a general minimax theorem. In the present note it is shown that these theorems (and even more general ones) can be obtained directly from a well-known characterization theorem valid for best approximations in any normed linear space.