On many approaches of the invariantsubspace problem in Hilbert spaces
Project/Area Number |
22540184
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
Basic analysis
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Research Institution | Shizuoka University |
Principal Investigator |
|
Co-Investigator(Kenkyū-buntansha) |
SAITO Kichi-suke 新潟大学, 自然科学系, 教授 (30018949)
WATATANI Yasuo 九州大学, 数理(科)学研究科(研究院), 教授 (00175077)
|
Project Period (FY) |
2010 – 2012
|
Project Status |
Completed (Fiscal Year 2012)
|
Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
Keywords | invariant subspace(不変部分空間) / Hilbert spaces(ヒルベルト空間) / analytic crossed products(解析的接合積) / factorization theorem / von Neumann algebra / invariant subspace / crossed product / analytic subalgebra / maximality / semigroup / Banach space / inequality / banach space |
Research Abstract |
The invariant subspace problem is the question that every bounded operator on a separable Hilbert space has a non-trivial invariant subspace. There has been a large amount of work on invariant subspaces, motivated by interest in the structure of non-self adjoint operators on Hilbert space. Our purpose is to investigate this problem on many ways; theory of operator algebras, Banach spaces and Hilbert spaces. And we succeeded in development of much theory relevant to the problem.
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Report
(4 results)
Research Products
(53 results)