Lunin's method for selecting large submatrices with small norm

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      ; B. S. Kashin, “Lunin's method for selecting large submatrices with small norm”, Sb. Math., 206:7 (2015), 980–987