2009 Fiscal Year Final Research Report
Operator algebras and noncommutative analysis
| Project/Area Number |
19540214
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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 |
Global analysis
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| Research Institution | Kyoto University |
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Principal Investigator |
IZUMI Masaki Kyoto University, 大学院・理学研究科, 教授 (80232362)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 作用素環 / 半群 / 正準交換関係 / 正準反交換関係 / Hardy空間 |
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| Research Abstract |
Operators on a Hilbert space, a generalization of the Euclid space, play fundamental roles in analysis and quantum physics. The set of bounded operators B(H) on a Hilbert space H is closed under linear operations, product, and conjugation, and it is a typical example of an operator algebra. In this research, I performed structure analysis of operator algebras. In particular, I studied the structure of a 1-parameter semigroup of endomorphisms of B(H), and obtained new classification invariants and construction of new examples.
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