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Mathematics of the USSR-Sbornik, 1984, Volume 48, Issue 1, Pages 173–182
DOI: https://doi.org/10.1070/SM1984v048n01ABEH002667 (Mi sm2114) 		 
This article is cited in 106 scientific papers (total in 106 papers)

Norms of random matrices and widths of finite-dimensional sets

E. D. Gluskin
English version PDF (488 kB) Citations (106)
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DOI: https://doi.org/10.1070/SM1984v048n01ABEH002667
Abstract: Precise orders are given for the Kolmogorov and linear widths of the unit ball of the space $l_p^m$ in the metric of $l_q^m$ for $q<\infty$. The determination of the upper estimates is based on approximation by random objects. This method goes back to Kashin (Izv. Akad. Nauk SSSR, Ser. Mat., 1977, vol. 41, p. 334–351). The corresponding lower estimates were obtained in a previous article of the author (Vestn. Leningr. Univ., 1981, № 13, p. 5–10).
Bibliography: 12 titles.
Received: 30.04.1982
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1983, Volume 120(162), Number 2, Pages 180–189
Bibliographic databases:
UDC: 517.98
MSC: Primary 15A52, 46B20; Secondary 26A12, 41A99, 52A20
Language: English
Original paper language: Russian
Citation: E. D. Gluskin, “Norms of random matrices and widths of finite-dimensional sets”, Mat. Sb. (N.S.), 120(162):2 (1983), 180–189; Math. USSR-Sb., 48:1 (1984), 173–182
Citation in format AMSBIB
\Bibitem{Glu83}
\by E.~D.~Gluskin
\paper Norms of random matrices and widths of finite-dimensional sets
\jour Mat. Sb. (N.S.)
\yr 1983
\vol 120(162)
\issue 2
\pages 180--189
\mathnet{http://mi.mathnet.ru/sm2114}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=687610}
\zmath{https://zbmath.org/?q=an:0558.46013|0528.46015}
\transl
\jour Math. USSR-Sb.
\yr 1984
\vol 48
\issue 1
\pages 173--182
\crossref{https://doi.org/10.1070/SM1984v048n01ABEH002667}
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    • This publication is cited in the following 106 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:890
    Russian version PDF:301
    English version PDF:26
    References:47
    First page:1
     
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