Weighted composition operators on discrete weighted Banach spaces

被引：2
作者：
Allen, Robert F. [1 ]
Pons, M. A. [2 ]
机构：
[1] Univ Wisconsin La Crosse, Dept Math & Stat, 1725 State St, La Crosse, WI 54601 USA
[2] North Cent Coll, Dept Math Actuarial Sci, 30 North Brainard St, Naperville, IL 60540 USA
来源：
ACTA SCIENTIARUM MATHEMATICARUM | 2022年 / 88卷 / 3-4期
关键词：
weighted composition operators; metric spaces; weighted Banach spaces; MULTIPLICATION OPERATORS; ISOMETRIES; ANALOG;
D O I：
10.1007/s44146-022-00051-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study weighted composition operators on weighted Banach spaces over unbounded, locally finite metric spaces. We characterize the operators that are bounded, compact, being bounded below, having closed range, invertible, being a (surjective) isometry, and are Fredholm. Several examples are presented illustrating the diversity of such operators.
引用
收藏
页码：639 / 671
页数：33
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