Commutator methods for unitary operators
Commutator methods for unitary operators
复制标题
酉算子的换向器方法
DOI：
10.4171/jst/45
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
R. T. Aldecoa
中科院分区：
文献类型：
--
作者：
C. Fernández;S. Richard;R. T. Aldecoa
在弱正则性条件下，给出了酉算子的一种改进的换位子方法。一旦应用于酉算子，该方法通常会导致奇异连续谱的缺乏和点谱的局部有限性。大家庭的本地顺利运营商也展出。一半的文件是专门的应用，并特别强调的研究上循环的无理旋转。这显然是第一次，交换子方法适用于旋转代数的背景下，研究其发电机。
We present an improved version of commutator methods for unitary operators under a weak regularity condition. Once applied to a unitary operator, the method typically leads to the absence of singularly continuous spectrum and to the local finiteness of point spectrum. Large families of locally smooth operators are also exhibited. Half of the paper is dedicated to applications, and a special emphasize is put on the study of cocycles over irrational rotations. It is apparently the first time that commutator methods are applied in the context of rotation algebras, for the study of their generators.