TY - JOUR AU - Braha, Naim L. PY - 2009 TI - The Banach space mp(X), for 1 ≤ p JF - Journal of Mathematics and Statistics VL - 5 IS - 1 DO - 10.3844/jmssp.2009.63.64 UR - https://thescipub.com/abstract/jmssp.2009.63.64 AB - Problem statement: In the theory of Banach spaces one of the problems which describes geometric property of Banach spaces is Banach-Saks Property. In this context we were known many Banach spaces which had this property such as Lp[0, 1] for 1 < p ≤ 2. Approach: Following the sequential structure of the Banach sequence space mp(X), for 1  ≤ p < 8, defined in[1], we arrived to describe a geometric property of this Banach spaces. Results: In this note we showed that Banach spaces mp(X), for 1  ≤ p < 8 had the Banach-Saks Property. Conclusion/Recommendations: Based in present approach, we recommend using our method to study the weak Banach-Saks property in sequential Banach spaces.