Kolmogorov widths of an intersection of a family of balls in a mixed norm

In this paper, order estimates for the Kolmogorov $n$-widths of an intersection of a family of balls in a mixed norm in the space $l_{q,\sigma }^{m,k}$ with $2\le q,\sigma <\mathrm{\infty }$, $n\le mk\mathrm{/}2$ are obtained.