A study on trace-rank inequality concerned with module structure of complex Hardy spaces
| Project/Area Number |
21740099
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Shimane University |
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Principal Investigator |
SETO Michio Shimane University, 総合理工学部, 講師 (30398953)
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| Project Period (FY) |
2009 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 関数解析 / ハーディ空間論 / 作用素論 / 多変数作用素論 / 関数解析学 / 関数論 / ハーディ空間 / 複素解析学 / 多変数作用論 |
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| Research Abstract |
(1) Since Hardy spaces can be seen as Hilbert modules over the polynomial ring, a Hilbert function can be defined for every submodule. We succeeded in giving an explicit formula for Hilbert functions of submodules in a certain class.
(2) As a sequel of (1), we introduced perturbation theory for linear operators to our research field. As a result, we have obtained a new viewpoint, which can be applied to other Hilbert function spaces.
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Report
(3 results)
Research Products
(13 results)
