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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.12852 |
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| _version_ | 1866909596138864640 |
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| author | Munger, Devon N. Paparella, Pietro |
| author_facet | Munger, Devon N. Paparella, Pietro |
| contents | In this work, the converse of the Cowling--Obrechkoff--Thron theorem is established. In addition to its theoretical interest, the result fills a gap in the proof of Kellogg's celebrated eigenvalue inequality for matrices whose principal minors are positive or nonnegative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_12852 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The converse of the Cowling--Obrechkoff--Thron theorem Munger, Devon N. Paparella, Pietro Rings and Algebras Spectral Theory 30C15, 26C10, 15A42 In this work, the converse of the Cowling--Obrechkoff--Thron theorem is established. In addition to its theoretical interest, the result fills a gap in the proof of Kellogg's celebrated eigenvalue inequality for matrices whose principal minors are positive or nonnegative. |
| title | The converse of the Cowling--Obrechkoff--Thron theorem |
| topic | Rings and Algebras Spectral Theory 30C15, 26C10, 15A42 |
| url | https://arxiv.org/abs/2303.12852 |