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).
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页码：2733 / 2745
页数：13
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