论文标题
关于$ l^p $的类似轮班的操作员的间隙
On spaceability of shifts-like operators on $L^p$
论文作者
论文摘要
我们证明了{\ em shifts类似运算符}的一组超环向量的间隙。当基础空间$ x $耗散时，类似移位的操作员自然而然地是$ l^p（x）$上的构图运营商。在证明主要定理的过程中，我们提供了独立感兴趣的其他结果，它表征了有界失真的耗散构成算子的弱混合。
We prove the spaceability of the set of hypercyclic vectors for {\em shifts-like operators}. Shift-like operators appear naturally as composition operators on $L^p(X)$, when the underlying space $X$ is dissipative. In the process of proving the main theorem, we provide, among other results of independent interest, a characterization of weakly mixing dissipative composition operators of bounded distortion.
