论文标题
在加权偏移的范围内
On the spectrum of weighted shifts
论文作者
论文摘要
众所周知，在线性动力学中，研究最多的线性运算符肯定是加权转移的类别，在可分离的Banach空间上$ C_0 $和$ \ ell^p $，$ 1 \ leq p <\ infty $。在过去的几十年中，对此类运营商的深入研究产生了令人难以置信的多功能，深度和美丽的结果，适用于数学的各个领域以及各种重要概念之间的关系，尤其是关于混乱和双曲线特性的关系，并研究了加权转移的光谱。在本文中，我们研究了加权移位的点频谱，在重量序列的一些规律性假设下，我们推断了频谱。
It is well-known that, in Linear Dynamics, the most studied class of linear operators is certainly that of weighted shifts, on the separable Banach spaces $c_0$ and $\ell^p$, $1 \leq p< \infty$. Over the last decades, the intensive study of such operators has produced an incredible number of versatile, deep and beautiful results, applicable in various areas of Mathematics and the relationships between various important notions, especially concerning chaos and hyperbolic properties, and the spectrum of weighted shifts are investigated. In this paper, we investigate the point spectrum of weighted shifts and, under some regularity hypotheses on the weight sequence, we deduce the spectrum.
