2009 Fiscal Year Final Research Report
Classifications of commutative Banach algebras and Banach modules and its applications
| 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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| Keywords | commutative Banach algbera / Segal algbera / convolution measure algbera / quasi-topology / approximate identity / Hyers-Ulam stability / 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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