Development of operator inequalities and their applications by using computers
| Project/Area Number |
20540189
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Tokyo University of Science |
|---|
Principal Investigator |
YANAGIDA Masahiro (2010) Tokyo University of Science, 理学部, 講師 (50318200)
古田 孝之 (2008-2009) Tokyo University of Science, 理学部, 教授 (40007612)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
柳田 昌宏 東京理科大学, 理学部, 講師 (50318200)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
FURUTA Takayuki 弘前大学, 名誉教授 (40007612)
|
|---|
| Project Period (FY) |
2008 – 2010
|
| Project Status |
Completed (Fiscal Year 2010)
|
| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
|
|---|
| 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 / Lowner-Heinzの不等式 / 一般化古田不等式 |
|---|
| 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.
|
Report
(4 results)
Research Products
(48 results)
