文章基本信息

标题：Reflexive algebras and sigma algebras
本地全文：下载
作者：T. C. Przymusinski ; V. K. Srinivasan
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1986
卷号：9
DOI：10.1155/S016117128600100X
出版社：Hindawi Publishing Corporation
摘要：The concept of a reflexive algebra (σ-algebra) β of subsets of a set X is defined in this paper. Various characterizations are given for an algebra (σ-algebra) β to be reflexive. If V is a real vector lattice of functions on a set X which is closed for pointwise limits of functions and if β={A|A⫅X   and   CA(x)∈V} is the σ-algebra induced by V then necessary and sufficient conditions are given for β to be reflexive (where CA(x) is the indicator function).