Approximating families for lattice outer measures on unsharp quantum logics

被引：0

作者：

Khare, Mona ^{[1
]}

Pandey, Pratibha ^{[1
]}

机构：

[1] Univ Allahabad, Dept Math, Allahabad 211002, Uttar Pradesh, India

来源：

MATHEMATICA SLOVACA | 2022年 / 72卷 / 06期

关键词：

Difference poset; approximation; measure; continuity; outer measure;

D O I：

10.1515/ms-2022-0103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of the present paper is to study lattice outer measures on an unsharp quantum logic, viz. a difference poset P associated with a monotone function mu defined on a sub-difference poset L of P and an approximating family in L. Having proved a number of fundamental properties, relationships among these outer measures and eventually among corresponding families of measurable elements of P are investigated.

引用

页码：1513 / 1526

页数：14