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Sbornik: Mathematics, 2015, Volume 206, Issue 7, Pages 980–987
DOI: https://doi.org/10.1070/SM2015v206n07ABEH004485 (Mi sm8495) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Lunin's method for selecting large submatrices with small norm

B. S. Kashin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (432 kB) Citations (11) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2015v206n07ABEH004485
Abstract: Using an approach proposed by Lunin in 1989, upper bounds are found for the norms of large submatrices of a fixed $(N\times n)$-matrix which defines an operator from $l_2^n$ into $l_1^N$ with unit norm.
Bibliography: 15 titles.
Keywords: submatrix, operator norm, Lunin's lemma, Kadison-Singer problem.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This work was supported by the Russian Science Foundation under grant no. 14-50-00005.
Received: 24.02.2015
Bibliographic databases:
Document Type: Article
UDC: 517.983
MSC: 46B20
Language: English
Original paper language: Russian
Citation: B. S. Kashin, “Lunin's method for selecting large submatrices with small norm”, Sb. Math., 206:7 (2015), 980–987
Citation in format AMSBIB
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\vol 206
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:966
    Russian version PDF:193
    English version PDF:15
    References:85
    First page:80
     
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