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Bergman空间上Toeplitz算子的局部化
引用本文:卢玉峰. Bergman空间上Toeplitz算子的局部化[J]. 东北数学, 2001, 17(4): 461-468
作者姓名:卢玉峰
作者单位:Department of Applied Mathematics,Dalian University of Technology,Dalian,116024
摘    要:In this paper we characterize the essential spectra of Toeplitz operators on Bergman spaces by using Douglas‘ localization Theorem and obtain the local decomposition of the essential spectra of Toeplitz operators.

关 键 词:希尔伯特空间  Toeplitz算子  非空子集  复平面  测度

Localization of Toeplitz Operators on Bergman Spaces
LU Yufeng. Localization of Toeplitz Operators on Bergman Spaces[J]. Northeastern Mathematical Journal, 2001, 17(4): 461-468
Authors:LU Yufeng
Affiliation:DepartmentofAppliedMathematics,DalianUniversityofTechnology,Dalian,116024
Abstract:In this paper we characterize the essential spectra of Toeplitz operators on Bergman spaces by using Douglas' localization Theorem and obtain the local decomposition of the essential spectra of Toeplitz operators.
Keywords:Toeplitz operator   Predholm operator   fiber   localization
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