This article is cited in 2 papers

Systems of convergence and divergence in the spaces $C$ and $B$

V. M. Veselov

M. V. Lomonosov Moscow State University

Abstract: An example is constructed of a complete orthonormalized system of functions which is a system of convergence for the space of continuous functions $C$ and a system of divergence for the space of bounded functions $B$. The example is constructed with the aid of orthogonalization of a basis in $C$.

UDC: 517.5

Received: 20.12.1972

 English version: Mathematical Notes, 1973, 13:6, 542–548

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