[1]钟善余.函数空间上的非负线性泛函与函数定义集合上的测度之联系[J].深圳大学学报理工版,1986,(4):61-73.
 Zhong Shanyu.Relation Between Non-Negative Linear Functionals on Functional Space and Measures on Function Delinition Set[J].Journal of Shenzhen University Science and Engineering,1986,(4):61-73.
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函数空间上的非负线性泛函与函数定义集合上的测度之联系()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
期数:
1986年4期
页码:
61-73
栏目:
环境与能源
出版日期:
1986-12-31

文章信息/Info

Title:
Relation Between Non-Negative Linear Functionals on Functional Space and Measures on Function Delinition Set
作者:
钟善余
深圳大学经济系
Author(s):
Zhong Shanyu
Department of economics, Shenzhen University
文献标志码:
A
摘要:
本文考虑一个任意非空集合Ω和定义在上满足较弱条件的一族有界实函数F用这族实函数Ω在上构造两个δ代数,进而讨论F上的非负线性泛函与这两个δ代数上的测度之关系.本文推广了文献〔3〕的结果,使之更适用于实际构造概率空间的需要。
Abstract:
The paper studies an arbitrary non-null set Ω and a group of bounded real一value functions F which are defined on Ω and meet weaker conditions,and with which two algebras are constructed on Ω.The paper then investigates the relation between non-negative linear functions on F and measures on these two a algebras.The paper succeeds in generalizing the result of Paper (3) listed in the bibliography and enables it to better satisfy the needs for constructing probability spaces in reality.
更新日期/Last Update: 2016-05-23