Uniformly Bounded Composition Operators on the Space of Bounded Variation Functions in the Sense of Waterman

被引：0
|
作者：
Wadie Aziz
Tomas Ereú
José A. Guerrero
机构：
[1] Universidad de Los Andes,Departamento de Física y Matemáticas
[2] Universidad Nacional Abierta,Centro Local Lara
[3] Universidad Nacional Experimental del Táchira,Departamento de Matemática y Física
来源：
Mediterranean Journal of Mathematics | 2016年 / 13卷
关键词：
Variation in the sense of Waterman; composition operator; regularization; uniformly bounded operator; Jensen equation; Primary 47B33; Secondary 26B30;
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学科分类号：
摘要：
In this paper, we demonstrate under some general assumptions, that a generator of any uniformly bounded composition operator, mapping spaces of bounded variation (Waterman) functions into other spaces of this type, must be an affine function in the functional variable.
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页码：4305 / 4320
页数：15
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