The Commutant of Some Shift Operators

被引：10

作者：

Abkar, Ali ^{[1
]}

Cao, Guangfu ^{[2
]}

Zhu, Kehe ^{[3
,4
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin 34149, Iran

[2] South China Agr Univ, Dept Math, Guangzhou 510640, Guangdong, Peoples R China

[3] SUNY Albany, Dept Math & Stat, Albany, NY 12222 USA

[4] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2020年 / 14卷 / 06期

关键词：

Weighted shift; Multiplication operator; Commutant; Weighted Bergman space; REDUCING SUBSPACES; MULTIPLICATION OPERATORS; MULTIPLIERS; SPACES;

D O I：

10.1007/s11785-020-01015-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a characterization for the commutant of certain weighted shift operators of higher multiplicity. The characterization is based on the realization of the operator as multiplication by monomials on weighted Bergman spaces of the unit disk.

引用

页数：12

共 25 条

[21] COMMUTANTS OF CERTAIN ANALYTIC TOEPLITZ OPERATORS [J].

THOMSON, JE .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 54 (JAN) :165-169

[22]

Zhao RH, 2008, MEM SOC MATH FR, V115, P1

[23]

Zhu K., 2007, OPERATOR THEORY FUNC, V138

[24] Operators in Cowen-Douglas classes [J].

Zhu, KH .

ILLINOIS JOURNAL OF MATHEMATICS, 2000, 44 (04) :767-783

[25] Reducing subspaces for a class of multiplication operators [J].

Zhu, KH .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2000, 62 :553-568

← 1 2 3 →