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

引用

页码：1612 / 1629

页数：18

共 50 条

[41] Analytic finite band width reproducing kernels and operator weighted shifts
Adams, GT
McGuire, PJ
Salinas, N
Schweinsberg, AR
JOURNAL OF OPERATOR THEORY, 2004, 51 (01) : 35 - 48
[42] Frequently hypercyclic weighted backward shifts on spaces of real analytic functions
Anahtarci, Berkay
Kariksiz, Can Deha
TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (06) : 3242 - 3249
[43] Eigenvalues and dynamical properties of weighted backward shifts on the space of real analytic functions
Domanski, Pawel
Kariksiz, Can Deha
STUDIA MATHEMATICA, 2018, 242 (01) : 57 - 78
[44] Structure and spectral theory of hyponormal multivariable weighted shifts
The University of Iowa
1600, (2003):
[45] ALGORITHMS FOR GENERATING ALL SPANNING-TREES OF UNDIRECTED, DIRECTED AND WEIGHTED GRAPHS
KAPOOR, S
RAMESH, H
LECTURE NOTES IN COMPUTER SCIENCE, 1991, 519 : 461 - 472
[46] Revealing non-analytic kinematic shifts in smooth goal-directed behaviour
Weir, M. K.
Wale, A. P.
BIOLOGICAL CYBERNETICS, 2011, 105 (02) : 89 - 119
[47] Revealing non-analytic kinematic shifts in smooth goal-directed behaviour
M. K. Weir
A. P. Wale
Biological Cybernetics, 2011, 105 : 89 - 119
[48] ON REALIZATION OF DIRECTED TREES AND DIRECTED 2-TREES
CHEN, WK
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1966, CT13 (02): : 230 - &
[49] Reconstructing the structure of directed and weighted networks of nonlinear oscillators
Alderisio, Francesco
Fiore, Gianfranco
di Bernardo, Mario
PHYSICAL REVIEW E, 2017, 95 (04)
[50] ON DIRECTED TREES AND DIRECTED K-TREES OF A DIGRAPH AND THEIR GENERATION
CHEN, WK
SIAM JOURNAL ON APPLIED MATHEMATICS, 1966, 14 (03) : 550 - &

← 1 2 3 4 5 →