The study of eigenvalue distribution of operator function and polynomials
Project/Area Number |
21540181
|
Research Category |
Grant-in-Aid for Scientific Research (C)
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Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Basic analysis
|
Research Institution | Shimane University |
Principal Investigator |
|
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)
|
Project Period (FY) |
2009 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
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 / 作用素単調関数 / 核関数 / 積分核 / Majorization / 作用素凸関数 |
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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Report
(5 results)
Research Products
(42 results)