Around the Furuta inequalitythe operator inequalities (AB2A)¾≤ABA≤A3
For positive operators A and B with A invertible it is shown that (AB2A)½≤A2 implies (AB2A)¾≤ABA. The inequalities in the title for 0≤B≤A are then derived as a conquence.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000263 |
| Summary: | For positive operators A and B with A invertible it is shown that (AB2A)½≤A2 implies
(AB2A)¾≤ABA. The inequalities in the title for 0≤B≤A are then derived as a conquence. |
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| ISSN: | 0161-1712 1687-0425 |