2010 Fiscal Year Final Research Report
Development of operator inequalities and their applications by using computers
| Project/Area Number |
20540189
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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 | Tokyo University of Science |
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Principal Investigator |
YANAGIDA Masahiro Tokyo University of Science, 理学部, 講師 (50318200)
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| Co-Investigator(Renkei-kenkyūsha) |
FURUTA Takayuki 弘前大学, 名誉教授 (40007612)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 作用素不等式 / log-majorization / L-wner-Heinzの不等式 / 古田不等式 / データ処理不等式 / 正値線形写像 / 作用素方程式 / Thompson計量 |
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| Research Abstract |
A linear operator on a Hilbert space can be regarded as an infinite-dimensional matrix. An inequality for selfadjoint bounded linear operators is a generalization of one for real numbers. An inequality for real numbers does not always hold for operators because of their noncommutativity. In this research, we developed new operator inequalities by using computers. We also show new results in related fields by applying them.
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