Spectra of some composition operators and associated weighted composition operators
Spectra of some composition operators and associated weighted composition operators
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一些合成算子和相关加权合成算子的谱
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
P. Bourdon
中科院分区：
文献类型：
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作者：
P. Bourdon
刻画了作用在开单位圆盘U的哈代空间H-2上的“本质线性分式”复合算子的谱和本质谱。当这些复合算子的符号在单位圆上具有Denjoy-Wolff点时，谱与本质谱重合。我们的工作使我们能够描述某些相关的加权复合算子的谱和本质谱的哈代空间。
We characterize the spectrum and essential spectrum of "essentially linear fractional" composition operators acting on the Hardy space H-two of the open unit disc U. When the symbols of these composition operators have Denjoy-Wolff point on the unit circle, the spectrum and essential spectrum coincide. Our work permits us to describe the spectrum and essential spectrum of certain associated weighted composition operators on the Hardy space.