关于函数空间中的线性混沌
泛函分析
2022-05-09 v6 动力系统
摘要
我们证明了在 （）中，有界加权平移及其无界对应物均为混沌线性算子。我们还将无界情形推广到 ，并在底层空间为复空间时描述了加权平移的谱。
引用
@article{arxiv.1912.03402,
title = {On linear chaos in function spaces},
author = {John M. Jimenez and Marat V. Markin},
journal= {arXiv preprint arXiv:1912.03402},
year = {2022}
}
备注
Minor edits. There is a text overlap with arXiv:2106.09682 and arXiv:2106.14872 in the Preliminaries section containing introductory information, definitions, and general remarks