2010 Fiscal Year Final Research Report
Developments and Applications for Operator Inequalities
| Project/Area Number |
20540166
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Osaka Kyoiku University |
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Principal Investigator |
FUJII Junichi Osaka Kyoiku University, 教育学部, 教授 (60135770)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 関数解析 |
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| Research Abstract |
The main results are on the Hiai-Petz geometry for positive definite matrices. Since I have been studying the Corach-Porta-Recht geometry for positive operators where the affine connection for the tangent bundle is essential, I can consider the Hiai-Petz one from this viewpoint. I have written 3 papers on this subject and made a special lecture at the spring meetings of the mathematical society of Japan. I have also written 5 papers on operator inequalities as the joint works with foreign or domestic fellows.
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