A class of linear fractional maps of the ball and their composition operators
A class of linear fractional maps of the ball and their composition operators
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DOI：
10.1016/j.aim.2006.05.012
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发表时间：
2007-03
影响因子：
1.7
通讯作者：
F. Bayart
中科院分区：
文献类型：
--
作者：
F. Bayart
研究了球上的一类线性分式自映射，它似乎是单位圆盘上抛物非自同构的一个很好的推广。我们给出了这些映射的一个标准形，并利用它计算了由它们诱导的复合算子的谱。我们还表明，这些复合算子从来没有超循环。应用程序的研究更一般的线性分式变换。
We study a class of linear fractional self-maps of the ball which seems to be a good generalization of parabolic non-automorphisms of the unit disk. We give a normal form of these maps and use it to compute the spectrum of the composition operators induced by them. We also show that these composition operators are never hypercyclic. Applications are given to the study of more general linear fractional transformations.