Abstract

Let Q be a compact subset of C and C( Q) the set of all continuous functions ƒ:Q←C. A given function ƒ ϵ C(Q) is approximated with respect to the uniform norm by elements of an n-dimensional Haar subspace V. Though the best approx imation is in general not strongly unique, it can be shown that strong uniqueness is a generic property if and only if the compact set Q has at most n isolated points.

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