The Spectrum and Essential Spectrum of Toeplitz Operators with Harmonic Symbols

The Spectrum and Essential Spectrum of Toeplitz Operators with Harmonic Symbols
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DOI:
10.1512/iumj.2010.59.3799
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发表时间:
2010
影响因子:
1.1
通讯作者:
C. Sundberg;Dechao Zheng
C. Sundberg;Dechao Zheng
中科院分区:
数学3区
文献类型:
--
作者:
C. Sundberg;Dechao Zheng

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本文证明了Bergman空间上存在Toeplitz算子,其有界调和符号具有不连通谱和本质谱。
In this paper we show that there are Toeplitz op- erators on the Bergman space with bounded harmonic symbols having disconnected spectrum and essential spectrum.