2011 Fiscal Year Final Research Report
Study of bounded analytic functions and associated operators on spaces of analytic functions
| Project/Area Number |
21540166
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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 | Niigata University |
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Principal Investigator |
IZUCHI Keiji 新潟大学, 自然科学系, 教授 (80120963)
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| Co-Investigator(Kenkyū-buntansha) |
HATORI Osamu 新潟大学, 自然科学系, 教授 (70156363)
OHNO Syuichi 日本工業大学, 工学部, 准教授 (20265367)
IZUCHI Kouhei 山口大学, 教育学部, 講師 (90451434)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 関数解析 / 複素解析 |
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| Research Abstract |
(1) It is determined the structure of closed ideals in H∞whose common zero sets are contained in the union set of nontrivial of Gleason parts in the maximal ideal space of H∞. Moreover it is proved that a countably generated closed ideal is a tensor product of simple closed ideals.(2) It is determined path connected components in the space of weighted composition operators on H∞and h∞with respect to the operator norm.(3) It is determined the rank of invariant and backward shift invariant subspaces of H^2(D^2) associated with sequences of Blaschke products.
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