摘要
引入了取值于 von Neumann代数的测度 ,即算子测度 ;并研究了算子测度的 σ-弱可列可加性及延拓 .将 Kluvanek延拓定理推广到 σ-弱可列可加测度 。
In this paper, it was introduced the measures with values in Von Neumann algebras, that is, operator measure, and consider the measure's σ weakly countable additivity and extension. We generalize the kluvanek extension theorem as σ weakly countably additive measures, and prove that the normalized positive operator measure on a field has a unique σ weakly countably additive extension on a σ field.
关键词
算子测度
σ-弱可列可加性
von
Neumann代数
Operator Measure
Probability Operator Measure
σ-weakly Countable Additivity
Von Neumann Algebra
