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Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2015
November 11, 2015 12:00, Moscow, Steklov Mathematical Institute of RAS, Conference Hall (8 Gubkina)

Lunin's method for selecting large submatrices with small norm

B. S. Kashin


https://youtu.be/jQz8V18jgI0

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.

References
  1. B. S. Kashin, “O metode Lunina nakhozhdeniya bolshikh podmatrits s maloi normoi”, Matem. sb., 206:7 (2015), 95–102  mathnet  crossref  elib; B. S. Kashin, “Lunin's method for selecting large submatrices with small norm”, Sb. Math., 206:7 (2015), 980–987  crossref  isi  scopus


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