Title: Some properties of vector measures taking values in a topological vector space
Abstract: Abstract In this paper we study some properties of vector measures with values in various topological vector spaces. As a matter of fact, we give a necessary condition implying the Pettis integrability of a function f : S → E , where S is a set and E a locally convex space. Furthermore, we prove an iff condition under which ( Q, E ) has the Pettis property, for an algebra Q and a sequentially complete topological vector space E . An approximating theorem concerning vector measures taking values in a Fréchet space is also given.