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On Exact Values of the Kolmogorov Width of Compact Sets in Hilbert Space

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Abstract

A two-sided bound for the Kolmogorov width of compact sets in Hilbert space is established. The Kolmogorov width of a set of equidistant points in real Hilbert space and the 1-width of the continuous Wiener spiral are computed.

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Authors and Affiliations

  1. N. É. Bauman Moscow State Technical University, Russia

    K. V. Uskov

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  1. K. V. Uskov
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Uskov, K.V. On Exact Values of the Kolmogorov Width of Compact Sets in Hilbert Space. Mathematical Notes 72, 527–541 (2002). https://doi.org/10.1023/A:1020540513718

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  • DOI: https://doi.org/10.1023/A:1020540513718

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