A Banach space E is said to have the Banach-Saks property (BS) if every bounded sequence ( x n ) in E has a subsequence ( x ′ n ) with norm convergent Cesaro means; that is, there is x in E such that If this occurs for every weakly convergent sequence in E it is said that E has the Weak Banach-Saks property (WBS) (also called Banach-Saks-Rosenthal property).