2007 Fiscal Year Final Research Report Summary
Generalizations to Operator Theory of Shannon's inequality of Information Theory and its application
| Project/Area Number |
17540176
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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 | Kanagawa University |
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Principal Investigator |
CHO Muneo Kanagawa University, Faculty of Engineering, 教授 (10091620)
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| Co-Investigator(Kenkyū-buntansha) |
YAMAZAKI Takeaki Kanagawa University, Faculty of Engineering, 准教授 (60333150)
SETO Michio Shimane University, Faculty of Science and Engineering, 講師 (30398953)
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| Project Period (FY) |
2005 – 2007
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| Keywords | Hilbert space / linear operator / operator inequality / spectrum / trace formula / moment problem / numerical range / Shannon's inequality |
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| Research Abstract |
Under the research project with title Generalizations to Operator Theory of Shannon's inequality of Information Theory and its application, Takeaki Yamazaki (Kanagawa University), Michio Seto (Shimane University) and Muneo Cho (Kanagawa University) studied for three years. In this period, we invited II Bong Jung (Professor of Kyungpook National University Korea) and Chunji Li (Professor of Northeastern University, P. R. China) and studied this problem with them. On June, 2005, Professor T, Furuta had a talk with title "Reverce inequalities associated with Tsallis relative operator entropy and their applications" at International Linear Algebra Society 12th Conference in Canada and Professor H. Araki had a talk with title An analytic extension theorem, Borchers' structure theorem and their application to half-sided modular inclusions at KOTAC2005 in Korea. On July, 2006, Professors H. Araki and M. Giga had talks with titles Super-Derivations and associated standard super-potentials and Spectrum and principal function of operators at the conference, IWOTA2006 International Workshop Operator Theory and Its Applications, in Seoul, respectively. M. Cho visited Seoul University on November, 2006 and had a talk with title Numerical ranges of some operators. On July, 2007, Professor T. Furuta had a talk with title Applications of order preserving operator inequalities at 14th Conference of the International Linear Algebra in P. R. China. By this support, we wrote 16 papers. We express our cordial thanks for this Grant.
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[Presentation] Xia spectrumについて2008
Author(s)
長 宗雄・古谷 正・棚橋 浩太郎
Organizer
線形作用素に関連する不等式とその応用
Place of Presentation
京都大学数理解析研究j所
Year and Date
2008-01-30
Description
「研究成果報告書概要(和文)」より
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