2012 Fiscal Year Final Research Report
The study of eigenvalue distribution of operator function and polynomials
| Project/Area Number |
21540181
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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 | Shimane University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
KOSAKI Hideki 九州大学, 数理科学研究院, 教授 (20186612)
WATATANI Yasuo 九州大学, 数理科学研究院, 教授 (00175077)
SETO Michio 島根大学, 総合理工学研究科, 准教授 (30398953)
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| Project Period (FY) |
2009 – 2012
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| Keywords | 作用素関数 / 固有値 / 作用素不等式 / 直交多項式 / ガンマ関数 / Pick 関数 |
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| Research Abstract |
We got some result on eigenvalue for an operator function f(X), where f is a concave function: precisely, the sum of eigenvalues of f(X+Y) from the largest through to k-th is not less than one for f(X)+f(Y) for every k. We have also shown that the principal inverse of the gamma function is a Pick function.
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