Compact groups of operators on subproportional quotients of l(1)(m)

摘要

It is proved that a "typical" n-dimensional quotient X-n of l(1)(m) with n = m(sigma), 0 < sigma < 1, has the property Average [GRAPHICS] for every compact group G of operators acting on X-N, where d(G)(T) stands for the normalized Haar measure on G and the average is taken over all extreme points of the unit ball of X-n. Several consequences of this estimate are presented. [References: 19]