Let X be a Banach space and let К be a bounded centrally symmetric set in X. The quantity
V Xiv · 1974
xezK yeLm where the infimum is taken with respect to all ^-dimensional hyperplanes L , is called the Kolmogorov m-diameter of the set К in the space X. Let Rn be the w-dimensional space of real vectors лг = (x , • • * , x ), and let X be the Banach space obtained by introducing a norm in Rn. In this paper only the /** norms, 1 < p < oo, defined by