This article is cited in 2 papers

Finite-codimensional Chebyshev subspaces in the complex space $C(Q)$

L. P. Vlasov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: We consider finite-codimensional Chebyshev subspaces in the complex space $C(Q)$, where $Q$ is a compact Hausdorff space, and prove analogs of some theorems established earlier for the real case by Garkavi and Brown (in particular, we characterize such subspaces). It is shown that if the real space $C(Q)$ contains finite-codimensional Chebyshev subspaces, then the same is true of the complex space $C(Q)$ (with the same $Q$).

UDC: 517.518

Received: 09.08.1995

DOI: 10.4213/mzm1603

 English version: Mathematical Notes, 1997, 62:2, 148–159

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