2011 Fiscal Year Final Research Report
Operator theory induced by operator inequalities
| Project/Area Number |
20540184
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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 |
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| Project Period (FY) |
2008 – 2011
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| Keywords | ハイポノーマル作用素 / パラノーマル作用素 / クラスA作用素 |
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| Research Abstract |
We study structure and property of class A operators,(p, k)-quasihyponormal operators. Especially, we get a formulation for quasinilpotent part of these oprators and prove they enjoy the Fuglede-Putnam theorem and the Weyl's theorem under certain conditions.
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