1987 Fiscal Year Final Research Report Summary
Reseach of operators and operator algebras and of its applications
| Project/Area Number |
61540076
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
解析学
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| Research Institution | Yamagata university |
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Principal Investigator |
SATO Kunio Assistant, Faculty of Engineering, Yamagata university, 工学部, 助手 (70007194)
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| Co-Investigator(Kenkyū-buntansha) |
HAKEDA Josuke Assistant Professor, Faculty of Engineering, Yamagata university, 工学部, 助教授 (70007003)
WATARI Chinami Professor, Faculty of Engineering, Yamagata University, 工学部, 教授 (80004274)
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| Project Period (FY) |
1986 – 1987
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| Keywords | Operator Algebra / Jordan Algebra / Exponential-type Operator / Uniform Approximation / Walsh級数 |
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| Research Abstract |
In this reseach project, we have investigated operator algebras and discussed some problems concerning approximations for continuous functions and other Fourier analysis. Among interesting results we have obtained is that the algebraic structures of operator algebras with no abelian direct summand are determined completely by the structure of products.
Applications of results to the Jordan algebras will be published shortly. We have also focused our attension on the uniform approximation in which the oprators are of exponential form. In this case it is shown that the saturation theorem holds for weaker conditions and that the use of the 2-th extended modulus of continuity enable to derive the uniform approximation in a simple manner.
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