Some Properties of Furuta Type Inequalities and Applications
This work is to consider Furuta type inequalities and their applications. Firstly, some Furuta type inequalities under A≥B≥0 are obtained via Loewner-Heinz inequality; as an application, a proof of Furuta inequality is given without using the invertibility of operators. Secondly, we show a unified s...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/457367 |
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| Summary: | This work is to consider Furuta type inequalities and their applications. Firstly, some Furuta type inequalities under A≥B≥0 are obtained via Loewner-Heinz inequality; as an application, a proof of Furuta inequality is given without using the invertibility of operators. Secondly, we show a unified satellite theorem of grand Furuta inequality which is an extension of the results by Fujii et al. At the end, a kind of Riccati type operator equation is discussed via Furuta type inequalities. |
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| ISSN: | 1085-3375 1687-0409 |