A Note on Invariant Subspaces on Banach Lattices

被引：0
|
作者：
Akay, Baris [1 ]
机构：
[1] Istanbul Univ, Sci Fac, TR-34134 Istanbul, Turkey
来源：
FOURTH INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2020) | 2021年 / 2334卷
关键词：
semi-compact operator; Dunford-Pettis operator; vector lattice;
D O I：
10.1063/5.0042210
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let E be an infinite dimensional real Banach lattice. In this paper, we show that every positive semi-compact operator T : E -> E which is dominated by a Dunford-Pettis operator, has a non-trivial closed invariant subspace.
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