WEIGHTED SHIFTS ON DIRECTED TREES WITH ONE BRANCHING VERTEX: n-CONTRACTIVITY AND HYPONORMALITY

被引：0

作者：

Exner, George R. ^{[1
]}

Jung, Il Bong ^{[2
]}

Lee, Mi Ryeong ^{[3
]}

机构：

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

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

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

来源：

OSAKA JOURNAL OF MATHEMATICS | 2021年 / 58卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

OPERATORS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S-lambda be a weighted shift on a rooted directed tree with one branching vertex (u) over tilde, eta branches (2 <= eta < infinity) and positive weight sequence lambda. We define a collection of (classical) weighted shifts, the so-called "the i-th branching weighted shifts" W-(i) for 0 <= i <= eta, whose weights are derived from those of S-lambda. In this note we discuss the relationships between n-contractivity, n-hypercontractivity and hyponormality of S-lambda and these properties for the W-(i) (0 <= i <= eta).

引用

页码：803 / 814

页数：12

共 37 条

[21] A Subnormal Completion Problem for Weighted Shifts on Directed Trees
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[29] Normal Extensions Escape from the Class of Weighted Shifts on Directed Trees
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[30] On analytic structure of weighted shifts on generalized directed semi-trees
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