On discrete and continuous quotient Riesz spaces

被引：0
|
作者：
Wnuk, Witold [1 ]
机构：
[1] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland
来源：
POSITIVITY | 2011年 / 15卷 / 01期
关键词：
Riesz space; Banach lattice; Locally solid Riesz space; Null ideal; Order bounded operator; LATTICES;
D O I：
10.1007/s11117-009-0042-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Order properties of quotient Riesz spaces E/N(f) by null ideals N(f) are investigated. We show relationships between properties of a Riesz space E and its order dual E similar to and properties of quotients E/N(f) where f runs over some subspaces of E similar to. A characterization of metrizable locally convex topological Riesz spaces whose all quotients (by proper closed ideals) are discrete is also given.
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页码：73 / 85
页数：13
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