ON COMMUTING AND SEMI-COMMUTING POSITIVE OPERATORS

被引：6

作者：

Gao, Niushan ^{[1
]}

机构：

[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 08期

关键词：

Ideal irreducible operator; compact positive operator; commuting operators; semi-commuting operators; INVARIANT SUBSPACES; SEMIGROUPS; THEOREMS;

D O I：

10.1090/S0002-9939-2014-12002-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let K be a positive compact operator on a Banach lattice. We prove that if either [K > or < K] is ideal irreducible, then[K > = < K] = L+(X) boolean AND {K}'. We also establish the Perron-Frobenius Theorem for such operators K. Finally, we apply our results to answer questions posed by Abramovich and Aliprantis (2002) and Braci c et al. (2010).

引用

页码：2733 / 2745

页数：13

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