Subnormal $n$th roots of quasinormal operators are quasinormal
Functional Analysis
2025-04-30 v3
Abstract
In the recent paper, R. E. Curto, S. H. Lee, J. Yoon, asked the following question: Let be a subnormal operator, and assume that is quasinormal. Does it follow that is quasinormal? In this paper, we give an affirmative answer to this question. In fact, we prove more general result that subnormal th roots of quasinormal operators are quasinormal.
Cite
@article{arxiv.2008.04758,
title = {Subnormal $n$th roots of quasinormal operators are quasinormal},
author = {Paweł Pietrzycki and Jan Stochel},
journal= {arXiv preprint arXiv:2008.04758},
year = {2025}
}