基于算子α的活性序及其性质研究

Activity Ordering Based on Operator α and Its Properties

以偏序关系的理论为基础,在完备布尔格下探讨了一类新的偏序关系,即基于算子α的活性序.给出了基于固定算子α的活性序的定义并研究了其相关性质,探讨了算子空间在新的序关系下具有的结构,为算子空间中序关系的研究提供了一个统一的框架.

A new partial ordering named activity ordering based on operator α under the condition of complete Boolean lattice is presented. It is rooted in partial ordering theory. This paper gives the definition of activity ordering based on fixed operator αand develops the related properties, researches the structure of operator space in new partial ordering and provides a unified framework for partial ordering in operator space.