| Project/Area Number |
19540159
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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 | Yamagata University |
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Principal Investigator |
TAKAHASI Sin-Ei Yamagata University, 大学院・理工学研究科, 教授 (50007762)
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| Co-Investigator(Kenkyū-buntansha) |
HATORI Osamu 新潟大学, 自然科学系, 教授 (70156363)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | commutative Banach algbera / Segal algbera / convolution measure algbera / quasi-topology / approximate identity / Hyers-Ulam stability / inequality / commutative Banach algebra / Gelfand transform / uniform algebra / Peripheral spectrum / convolution measure algebra / Mazur-Ulam theorem / superstability / BE extension / BED extension / ring homomorphism / probability measure / Segel algebra / local multiplier / Hlawka's inequality |
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| Research Abstract |
The author and coauthor succeeded in classifying commutative Banach algebras more closely by using the notion of quasi topology, which is originated from certain classes of Banach algebras introduced by the authors in 1990. In addition, the authors investigated classes for some concrete commutative Banach algebras. As applications, the authors solved certain stability problems and obtained several inequalities.
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