Research for the interplay between measurable dynamical systems and topological dynamical systems through the basic method of operator
Project/Area Number |
24540195
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Basic analysis
|
Research Institution | Kanagawa University |
Principal Investigator |
CHO Muneo 神奈川大学, 044, 教授 (10091620)
|
Project Period (FY) |
2012-04-01 – 2015-03-31
|
Project Status |
Completed (Fiscal Year 2014)
|
Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
|
Keywords | Hilbert space / Operator / Spectrum / C*-algebra / Dynamical system / positive functional / Banach algebra / operator / perturbation / Weyl's Theorem / n-paranormal / SVEP / Banach space / Fredholm Theory / Browder spectrum / symmetrizable operator / multioperator / Taylor spectrum |
Outline of Final Research Achievements |
On research for the interplay between measurable dynamical systems and topological dynamical systems through the bsasic method of operator theory, we have studied irreducible representations to Banach spaces (existence and etc.) and we showed that l^1(Σ) ia a Hermite algebra in the ideal structure problem of l^1(Σ). And we published a note with title "Note on the structure of non--commutative l^1-algebras associated with topological dynamical system".
|
Report
(4 results)
Research Products
(15 results)