Strengthening of Clarkson-McCarthy inequalities with several operators
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914991685238784 |
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| author | Zhang, Teng |
| author_facet | Zhang, Teng |
| contents | Strengthening of two Clarkson-McCarthy inequalities with several operators is established. These not only confirm a conjecture of the author in [Israel J. Math. 2024], but also improve results of Hirazallah-Kittaneh in [Integral Equations Operator Theory 60 (2008)] and Bhatia-Kittaneh in [Bull. London Math. Soc. 36 (2004)]. We also give a generalization of a result for pairs $(A_i,B_i), 1\le i\le n$ and obtain another form of another inequality. The infinite cases of these inequalities are also discussed. The method is an extension of the result obtained by Bourin and Lee in [Linear Algebra Appl. 601 (2020)]. Some related eigenvalue inequalities are also obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_07730 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strengthening of Clarkson-McCarthy inequalities with several operators Zhang, Teng Functional Analysis 47A30, 15A60 Strengthening of two Clarkson-McCarthy inequalities with several operators is established. These not only confirm a conjecture of the author in [Israel J. Math. 2024], but also improve results of Hirazallah-Kittaneh in [Integral Equations Operator Theory 60 (2008)] and Bhatia-Kittaneh in [Bull. London Math. Soc. 36 (2004)]. We also give a generalization of a result for pairs $(A_i,B_i), 1\le i\le n$ and obtain another form of another inequality. The infinite cases of these inequalities are also discussed. The method is an extension of the result obtained by Bourin and Lee in [Linear Algebra Appl. 601 (2020)]. Some related eigenvalue inequalities are also obtained. |
| title | Strengthening of Clarkson-McCarthy inequalities with several operators |
| topic | Functional Analysis 47A30, 15A60 |
| url | https://arxiv.org/abs/2408.07730 |