| Project/Area Number |
09640229
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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 |
解析学
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| Research Institution | Kanagawa University |
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Principal Investigator |
CHO Muneo Kanagawa University, Faculty of Engineering, Professor, 工学部, 教授 (10091620)
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| Project Period (FY) |
1997 – 1999
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| Project Status |
Completed (Fiscal Year 1999)
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| Budget Amount *help |
¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1999: ¥400,000 (Direct Cost: ¥400,000)
Fiscal Year 1998: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1997: ¥300,000 (Direct Cost: ¥300,000)
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| Keywords | Riemann-Hilbert problem / Hilbert space / Linear operator / Putnam inequality / p-hyponomal operator / Singular intergral model / Taylor spectrum / Xia spectrum / Riemann-Hilbert問題 / symbol / Weylの定理 |
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| Research Abstract |
The title of my research is "Riemann-Hilbert problem"(No.09640229). I studied this problem from Heisei 9th to 11th. I made 16 manuscripts in this period, 9 manuscripts already pubrished and remaining 7 manuscripts are printing. I studied this problem the following steps :
(1) Making new spectral mapping theorems for p-hyponormal operators.
(2) Making new general polar symbols for p-hyponormal operators.
(3) Making new singular integral model for p-hyponormal operators.
(4) Extending Putnam inequality to n-tuples.
(5) Extending p-hyponormal operators to Riemann-Hilbert problem
Steps (1) - (3) are for the research of (4) and (5). I got almost final results of these steps. Hence I finished (5) in this research period. About (4), I got some information. I made two manuscripts of this problem. Professor Tadasi Huruya is very important. I got his help. Also, I asked to come to Japan to Professor W.Zelazko, he is a professor of the Banach Institute, in Heisei 10th. And in Heisei 11th I asked to come to Japan to Professor R.Curto, he is a professor of the University of Iowa. We discussed the problem (4) and got two munscripts.
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