This article is cited in 2 papers

On systems of convergence in measure for $l_2$

E. M. Nikishin

M. V. Lomonosov Moscow State University

Abstract: In this article it is proved that every system of convergence in measure for $l_2$ can be made orthonormal by correction on a set of arbitrarily small measure.

UDC: 517.5

Received: 17.11.1972

 English version: Mathematical Notes, 1973, 13:3, 205–207

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