EIGENVECTORS AND SPECTRA OF SOME WEIGHTED COMPOSITION OPERATORS ON Lp SPACES

被引：0
|
作者：
Gunatillake, Gajath [1 ]
机构：
[1] Amer Univ Sharjah, Dept Math & Stat, POB 26666, Sharjah, U Arab Emirates
来源：
OPERATORS AND MATRICES | 2021年 / 15卷 / 02期
关键词：
Weighted composition operator; L-p spaces;
D O I：
10.7153/oam-2021-15-32
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let. be a self map of [0,1], and W be a map on [0,1]. If f belongs to the L-p space of [0,1], then the operator C-W,C-phi defined by C-W,C- (phi)(f) = W.f o phi, is a weighted composition operator. The spectrum of such an operator when phi is a monotonic contraction map and W is a Lipschitz continuous function is computed in this work.
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页码：463 / 470
页数：8
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