稳定Banach空间上接近序列及弱型的性质

PROPERTY OF APPROXIMATING SEQUENCE ON STABLE BANACH SPACES AND WEAKLY TYPES

本文主要是证明了稳定Banach空间上任何接近序列有等价于1_p(1≤P<∞)单位向量基的块序列,及弱稳定Banach空间E的模F含1_p或C_o副本,并且当1_p(?)F时有1_p(?)E.

In this paper we proved there exists blocks of approximating sequence which is equivalent to the basis of 1_p (1≤<∞)and spreading model F of weakly stable Banach space E contains copy of lp or co and if l_p F then l_p E