Two properties of sequence of vector measures on effect algebras

Let (L,⊕, 0, 1) be an effect algebra and let X be a Banach space. A function μ: L → X is called a vector measure if μ(a⊕b) = μ(a)+μ(b) whenever a?b in L. The function μ is said to be s-bounded if lim $ \mathop {\lim }\limits_{n \to \infty } \mu (a_n ) $ \mathop {\lim }\limits_{n \to \infty } \mu (a_n ) = 0 in X for any orthogonal sequence (a _n ) _n∈? in L. In this paper, we introduce two properties of sequence of s-bounded vector measures and give some results on these properties.