An Oppenheim type inequality for positive definite block matrices
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866911829055242240 |
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| author | Li, Yongtao Peng, Yuejian |
| author_facet | Li, Yongtao Peng, Yuejian |
| contents | We present an Oppenheim type determinantal inequality for positive definite block matrices. Recently, Lin [Linear Algebra Appl. 452 (2014) 1--6] proved a remarkable extension of Oppenheim type inequality for block matrices, which solved a conjecture of Günther and Klotz. There is a requirement that two matrices commute in Lin's result. The motivation of this paper is to obtain another natural and general extension of Oppenheim type inequality for block matrices to get rid of the requirement that two matrices commute. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_02819 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | An Oppenheim type inequality for positive definite block matrices Li, Yongtao Peng, Yuejian Functional Analysis Operator Algebras 15A45, 15A60, 47B65 We present an Oppenheim type determinantal inequality for positive definite block matrices. Recently, Lin [Linear Algebra Appl. 452 (2014) 1--6] proved a remarkable extension of Oppenheim type inequality for block matrices, which solved a conjecture of Günther and Klotz. There is a requirement that two matrices commute in Lin's result. The motivation of this paper is to obtain another natural and general extension of Oppenheim type inequality for block matrices to get rid of the requirement that two matrices commute. |
| title | An Oppenheim type inequality for positive definite block matrices |
| topic | Functional Analysis Operator Algebras 15A45, 15A60, 47B65 |
| url | https://arxiv.org/abs/2109.02819 |