| Project/Area Number |
10640185
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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 | Tohoku Pharmaceutical University |
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Principal Investigator |
TANAHASHI Kotaro Tohoku P. Univ., Dep. Math., Ass. Professor, 薬学部, 助教授 (90142398)
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| Co-Investigator(Kenkyū-buntansha) |
MIURA Yasuhide Iwate Univ., Dep. Math., Professor, 人文社会科学部, 教授 (20091647)
TAKAMOTO Hideo Miyagi Univ., Edu., Dep. Math., Professor, 教育学部, 教授 (00004408)
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| Project Period (FY) |
1998 – 1999
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| Project Status |
Completed (Fiscal Year 1999)
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| Budget Amount *help |
¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1999: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1998: ¥500,000 (Direct Cost: ¥500,000)
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| Keywords | operatior inequality / Furuta inequality / p-hyponormal operator / log-hyponormal operator / p-hyponormal operator |
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| Research Abstract |
The purpose of this resarch is to study the Furuta inequality in operator theory. The Furuta inequality has been developped far and wide by many aurthors.
In this research, we show that the Furuta inequality holds in Banach *-algebgas as in the case of Hilbert space. Also, we study the Furuta inequality with negative powers and best possibility of the grand Furuta inequality.
Next, we study log-hyponormal operators on Hilbert space. We prove that log-hyponormal operators have many similar properties to p-hyponormal operators with p = 0. For examples, Aluthge transform, Putnam's inequality and angular cutting.
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