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

页码：639 / 671

页数：33

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