TY - JOUR T1 - On Copositive Approximation in Spaces of Continuous Functions II: The Uniqueness of Best Copositive Approximation JO - Analysis in Theory and Applications VL - 1 SP - 20 EP - 26 PY - 2016 DA - 2016/01 SN - 32 DO - http://doi.org/10.4208/ata.2016.v32.n1.2 UR - https://global-sci.org/intro/article_detail/ata/4651.html KW - Strict Chebyshev spaces, best copositive approximation, change of sign. AB -

This paper is part II of "On Copositive Approximation in Spaces of Continuous Functions".  In this paper the author shows that if $Q$ is any compact subset of real numbers, and $M$ is any finite dimensional strict Chebyshev subspace of $C(Q)$, then for any admissible function $f\in C(Q)\backslash M,$ the best copositive approximation to $f$ from $M$ is unique.