On the existence of a measurable function with given values of the best approximations in $L_0$

In the space of convergence in measure, we study the Bernstein problem of existence of a function with given values of the best approximations by a system of finite-dimensional subspaces strictly imbedded in one another.

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Bibliographic Details
Date:1996
Main Authors: Pichugov, S. A., Пичугов, С. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1996
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5251
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal