Operator mean inequalities and Kwong functions
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866911870943756288 |
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| author | Gharakhanlu, Nahid Moslehian, Mohammad Sal Najafi, Hamed |
| author_facet | Gharakhanlu, Nahid Moslehian, Mohammad Sal Najafi, Hamed |
| contents | In this paper, we study operator mean inequalities for the weighted arithmetic, geometric and harmonic means. We give a slight modification of Audenaert's result to show the relation between Kwong functions and operator monotone functions. Operator mean inequalities provide some analogs of the geometric concavity property for Kwong functions, operator convex, and operator monotone functions. Moreover, we give our points across by way of some examples which show the usage of our main results. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_05290 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Operator mean inequalities and Kwong functions Gharakhanlu, Nahid Moslehian, Mohammad Sal Najafi, Hamed Functional Analysis Operator Algebras 47A63, 47A64, 15A60 In this paper, we study operator mean inequalities for the weighted arithmetic, geometric and harmonic means. We give a slight modification of Audenaert's result to show the relation between Kwong functions and operator monotone functions. Operator mean inequalities provide some analogs of the geometric concavity property for Kwong functions, operator convex, and operator monotone functions. Moreover, we give our points across by way of some examples which show the usage of our main results. |
| title | Operator mean inequalities and Kwong functions |
| topic | Functional Analysis Operator Algebras 47A63, 47A64, 15A60 |
| url | https://arxiv.org/abs/2405.05290 |