Subnormal $n$th roots of quasinormal operators are quasinormal
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arXiv
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| Format: | Preprint |
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2020
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| _version_ | 1866915263959531520 |
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| author | Pietrzycki, Paweł Stochel, Jan |
| author_facet | Pietrzycki, Paweł Stochel, Jan |
| contents | In the recent paper, R. E. Curto, S. H. Lee, J. Yoon, asked the following question: Let $A$ be a subnormal operator, and assume that $A^2$ is quasinormal. Does it follow that $A$ is quasinormal? In this paper, we give an affirmative answer to this question. In fact, we prove more general result that subnormal $n$th roots of quasinormal operators are quasinormal. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2008_04758 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Subnormal $n$th roots of quasinormal operators are quasinormal Pietrzycki, Paweł Stochel, Jan Functional Analysis In the recent paper, R. E. Curto, S. H. Lee, J. Yoon, asked the following question: Let $A$ be a subnormal operator, and assume that $A^2$ is quasinormal. Does it follow that $A$ is quasinormal? In this paper, we give an affirmative answer to this question. In fact, we prove more general result that subnormal $n$th roots of quasinormal operators are quasinormal. |
| title | Subnormal $n$th roots of quasinormal operators are quasinormal |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2008.04758 |