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On the existence of a measurable function with given values of the best approximations inL 0

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Abstract

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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Authors
  1. S. A. Pichugov
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Pichugov, S.A. On the existence of a measurable function with given values of the best approximations inL 0 . Ukr Math J 48, 1222–1228 (1996). https://doi.org/10.1007/BF02383868

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  • DOI: https://doi.org/10.1007/BF02383868

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