论文标题
基础等于$ C_0 $或$ \ ell_p $的单位矢量基础
Bases equivalent to the unit vector basis of $c_0$ or $\ell_p$
论文作者
论文摘要
我们将表明，在Banach空间中的无条件基础等同于单位矢量基础$ C_0 $或$ \ ell_p $，如果$ 1 \ le P <\ Inftty $，则仅当所有有限支持的单位矢量产生的基础的所有有限支持的块及其双重基础及其双重基础的基础均匀等于基础或所有此类块。
We will show that an unconditional basis in a Banach space is equivalent to the unit vector basis of $c_0$ or $\ell_p$ for $1\le p < \infty$ if and only if all finitely supported blocks of the basis generated by a unit vector and its dual basis are uniformly equivalent to the basis or all such blocks are uniformly complemented.
