Laws of large numbers and convergence rate for arrays of random elements in Banach spaces under uniform integrability in the Ces*aro sence are investigated and geometrical characterization of Banach spaces are discribed.

• 主要在“Ces ro一致可积”的系列条件下研究了B值随机变量阵列的大数定律和收敛速度 ,并刻划了Banach空间的几何特征