条件期望在波代数上的刻画  

Characterizations of Conditional Expectations on Wave-algebras

作　　者：段樱桃[1] 王文锋[2] 

机构地区：[1]湛江师范学院数学与计算科学学院,广东湛江524048 [2]新疆石河子大学数学系,新疆石河子832003

出　　处：《湛江师范学院学报》2013年第3期41-43,共3页Journal of Zhanjiang Normal College

基　　金：湛江师范学院自然科学研究项目(QL1001)

摘　　要：本文主要研究了波代数、指标波有限条件期望,给出了此类代数上置信的初等条件期望及其最小存在的充要条件,并且得到了条件期望指标有限的充分必要条件和一个重要不等式.This paper mainly defines the wave-algebras, which contains some special elements, to sim- plify the properties of conditional expectations as elementary operators, and to prove that if A is a wave-al- gebra, the necessary and sufficient conditions for the minimal conditional expectation to be a faithful ele- mentary conditional expectation of A ; and some certain conditional expectations to be index-finite are given respectively and an inequality for the index is derive.

关 键 词：初等算子 波代数 条件期望 

分 类 号：O153.3[理学—数学]