Some Results on the Central Limit Theorem for Subsequences in Banach Spaces

Deli Li, Han-Ying Liang

Let $\{X,X_n;n\ge 1\}$ be a sequence of i.i.d. $\mathbf{B}$-valued random variables and set $S_n={\sum }_{i=1}^n{X}_i,n\ge 1$. This note is devoted to study the classi…