Best approximation in (L1 ⊕ R)∞

Authors

Pei Kee Lin, The Ohio State University

Abstract

We prove necessary and sufficient conditions for X to be a Chebyshev subspace of (L1 ⊕ R)∞. Moreover, we find a nontrivial Chebyshev subspace of (L1 ⊕ c0)∞ when the scalar field is that of the complex numbers. © 1981.

Publication Title

Journal of Approximation Theory

Recommended Citation

Lin, P. (1981). Best approximation in (L1 ⊕ R)∞. Journal of Approximation Theory, 32 (1), 47-63. https://doi.org/10.1016/0021-9045(81)90021-6