On the chaoticity and spectral structure of Rolewicz-type unbounded operators

Marat V. Markin

On the chaoticity and spectral structure of Rolewicz-type unbounded operators

Functional Analysis 2019-04-19 v5

Authors: Marat V. Markin

Abstract

We prove the chaoticity and describe the spectral structure of Rolewicz-type weighted backward shift unbounded linear operators in the sequence spaces $l_p$ ( $1\le p<\infty$ ) and $c_0$ .

Keywords

rolewicz operators unbounded operators chaoticity spectral structure weighted backward shift sequence spaces

Cite

@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}
}

Comments

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

On the chaoticity and spectral structure of Rolewicz-type unbounded operators

Abstract

Keywords

Cite

Comments

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