This article is cited 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

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.

UDC: 517.983

MSC: 46B20

Received: 24.02.2015

DOI: 10.4213/sm8495

 English version: Sbornik: Mathematics, 2015, 206:7, 980–987

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