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.

引用

页数：2

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