中文

关于 Rolewicz 型无界算子的混沌性与谱结构

泛函分析 2019-04-19 v5

摘要

我们证明了序列空间 lpl_p1p<1\le p<\infty)与 c0c_0 中 Rolewicz 型加权后移无界线性算子的混沌性,并描述了其谱结构。

关键词

引用

@article{arxiv.1811.06640,
  title  = {On the chaoticity and spectral structure of Rolewicz-type unbounded operators},
  author = {Marat V. Markin},
  journal= {arXiv preprint arXiv:1811.06640},
  year   = {2019}
}

备注

Essentially modified and renamed considering going beyond hypercyclicity to chaoticity and describing the spectral structure for the operators in question. Updated Bibliography and Acknowledgements. There is a natural text overlap with arXiv:1807.07423 and arXiv:1812.02294 in the Preliminaries section containing introductory information, definitions, and general remarks