取值于局部凸空间向量测度的强可加性

Strong Additivity of Vector Measure Values in the Locally Convex Space

基于局部凸空间矢值测度的一些基本性质,提出取值于局部凸空间向量测度的一致强可加的定义,进一步给出有关取值于局部凸空间向量测度强可加、一致强可加的几个等价条件.

Based on some basic properties of vector measure Valued in locally convex space, put forward the definition of Uniformly strong additivity of Vector measure valued in locally convex space, which proves some equivalent Conditions consistent With strong additivity and Uniformly strong additivity of vector measure valued in locally convex space.