Algebraic and spectral properties of dual Toeplitz operators

被引：73

作者：

Stroethoff, K ^{[1
]}

Zheng, DC

机构：

[1] Univ Montana, Dept Math Sci, Missoula, MT 59812 USA

[2] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 354卷 / 06期

关键词：

D O I：

10.1090/S0002-9947-02-02954-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Dual Toeplitz operators on the orthogonal complement of the Bergman space are defined to be multiplication operators followed by projection onto the orthogonal complement. In this paper we study algebraic and spectral properties of dual Toeplitz operators.

引用

页码：2495 / 2520

页数：26

共 24 条

[1] Products of Toeplitz operators on the Bergman space [J].

Ahern, P ;

Cuckovic, Z .

ILLINOIS JOURNAL OF MATHEMATICS, 2001, 45 (01) :113-121

[2]

[Anonymous], REAL COMPLEX ANAL

[3]

Axler S, 1998, INDIANA U MATH J, V47, P387

[4]

Axler S, 1998, STUD MATH, V127, P113

[5] COMMUTING TOEPLITZ-OPERATORS WITH HARMONIC SYMBOLS [J].

AXLER, S ;

CUCKOVIC, Z .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 1991, 14 (01) :1-12

[6]

AXLER S, 1986, PITMAN RES NOTES MAT, V1, P1

[7]

Brown A., 1964, Journal Fur die Reine und Angewandte Mathematik, V213, P89

[8] JOINT SPECTRUM OF COMMUTING NONNORMAL OPERATORS [J].

BUNCE, J .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 29 (03) :499-&

[9] BOURGAIN ALGEBRAS ON THE UNIT DISK [J].

CIMA, JA ;

STROETHOFF, K ;

YALE, K .

PACIFIC JOURNAL OF MATHEMATICS, 1993, 160 (01) :27-41

[10]

DOUGLAS R, 1972, BANACH ALGEBRA TEACH

← 1 2 3 →