Invariant subspaces for positive operators on locally convex solid Riesz spaces

被引：1

作者：

Caglar, M. ^{[1
]}

Ercan, Z. ^{[2
]}

机构：

[1] Istanbul Kultur Univ, Dept Math & Comp Sci, TR-34156 Istanbul, Turkey

[2] Abant Izzet Baysal Univ, Dept Math, TR-14280 Bolu, Turkey

来源：

INDAGATIONES MATHEMATICAE-NEW SERIES | 2007年 / 18卷 / 03期

关键词：

positive operator; semigroup; invariant subspace; quasinilpotent; weak quasinilpotent;

D O I：

10.1016/S0019-3577(07)80030-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that an x(0)-quasinilpotent semigroup S of continuous positive linear operators on a locally convex solid Riesz space X has a common invariant subspace. Using this, a result which implies the main theorem of Abramovich, Aliprantis and Burkinshaw [J. Funct. Anal. 115 (1993) 418-424] is also given.

引用

页码：417 / 420

页数：4

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