Analytic structure of weighted shifts on directed trees

被引：14
|
作者：
Budzynski, P. [1 ]
Dymek, P. [1 ]
Ptak, M. [1 ,2 ]
机构：
[1] Uniwersytet Rolniczy Im Hugona Kollataja Krakowie, Katedra Zastosowan Matemat, Ul Balicka 253c, PL-30198 Krakow, Poland
[2] Pedag Univ, Inst Math, Ul Podchorazych 2, PL-30084 Krakow, Poland
来源：
MATHEMATISCHE NACHRICHTEN | 2017年 / 290卷 / 11-12期
关键词：
Weighted shift on a directed tree; multiplication operator; bounded point evaluation; OPERATORS;
D O I：
10.1002/mana.201500448
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that a weighted shift on a directed tree is related to a multiplier algebra of coefficients of analytic functions. We use this relation to study spectral properties of the operator in question. (C) 2016 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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页码：1612 / 1629
页数：18
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