This article is cited in 6 papers

The existence of a best approximating element in $(F)$-space with integral metric

A. L. Garkavi

V. V. Kuibyshev Military Engineering Academy

Abstract: The existence is proved of a best approximation element in finite-dimensional subspaces of linear metric spaces of a class containing, in particular, the space $S[0,1]$ of measurable functions.

UDC: 517.5

Received: 12.02.1970

 English version: Mathematical Notes, 1970, 8:5, 797–802

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