Invariant subspaces for compact-friendly operators in Sobolev spaces

被引:2
|
作者
Isidori, MC [1 ]
Martellotti, A [1 ]
机构
[1] Univ Perugia, Dept Math, I-06123 Perugia, Italy
关键词
Sobolev spaces; compact-friendly operator; invariant subspaces; multiplication operators;
D O I
10.1023/B:POST.0000042839.07106.d6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note we extend the concept of compact-friendlyness, defined in the literature for operators on a Banach lattice, to the case of operators on Sobolev spaces and derive the existence of invariant subspaces for compact-friendly operators of this type.
引用
收藏
页码:109 / 122
页数:14
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