Partially normal composition operators relevant to weighted directed trees

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:450

Article

Exner, George R.¹  Jung, Il Bong²  Lee, Eun Young²  Lee, Mi Ryeong³ 

[1] Bucknell Univ, Dept Math, Lewisburg, PA 17837 USA

[2] Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea

[3] Catholic Univ Daegu, Inst Liberal Educ, Gyongsan 38430, Gyeongbuk, South Korea

关键词: Directed graph;    Composition operator;    Conditional expectation;    p-Hyponormality;    p-Paranormality;   

DOI  :  10.1016/j.jmaa.2016.12.072

来源: Elsevier

【 摘 要 】

We characterize properties including p-hyponormality and p-paranormality for composition operators arising from measurable transformations on weighted directed trees, in terms of a test at each node v involving the masses at nodes in a neighborhood of nodes near v. Also constructed are certain graphs E universal for p-hyponormality in that the neighborhood of any node in any graph yielding a p-hyponormal composition operator is a certain limit of neighborhoods in S. These results are applied to some examples with particularly regular graph structures. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free