KAWABE Jun
Academic Assembly School of Science and Technology Institute of Engineering
Faculty of Engineering Engineering Core Division
Professor
Researcher Information
Research Keyword
- nonadditive measure, nonlinear integral, fuzzy measure, Choquet integral, Sugeno integral, measure theory, measures on topological spaces, weak convergence of measures, vector measure, measures on infinite dimensional spaces
Career
- 2005 - 2006
Massachusetts Institute of Technology Visiting Researcher - 2003
Faculty of Engineering, Shinshu University Professor - 1996 - 1996
Massachusetts Institute of Technology Visiting Researcher - 1987 - 2003
Faculty of Engineering, Shinshu University Associate Professor - 1986 - 1987
Faculty of Engineering, Shinshu University Lecturer
Educational Background
- 1983 - 1986, Tokyo Institute of Technology, Graduate School, Division of Science and Engineering, Department of Information Sciences
- 1981 - 1983, Tokyo Institute of Technology, Graduate School, Division of Science and Engineering, Department of Information Sciences
- 1977 - 1981, Tokyo Institute of Technology, Faculty of Science, 情報科学科
Research activity information
Paper
- Nonadditive measures and nonlinear integrals--focusing on a theoretical aspect--
Jun Kawabe
Sugaku Expositions, 34(1), 61-92, Jun. 2021
Lead, Corresponding - The completeness and separability of the Lorentz spaces defined by the Sugeno and Shilkret integrals
Jun Kawabe
Linear and Nonlinear Analysis, 7(2), 265-284, 2021, Refereed
Lead, Corresponding - Convergence theorems of the Choquet integral for three types of convergence of measurable functions
Jun Kawabe
Josai Math. Monogoraphs, 11, 55-74, 01 Mar. 2018, Refereed - The Vitali type theorem for the Choquet integral
Jun Kawabe
Linear Nonlinear Anal., 3, 349-365, 01 Dec. 2017, Refereed - The monotone convergence theorems for nonlinear integrals on a topological space
Jun Kawabe
Linear and Nonlinear Analysis, 2(2), 281-300, 31 Dec. 2016, Refereed - The structural characteristics of Choquet functionals
Jun Kawabe
J. Nonlinear Convex Anal., 16(11), 2181-2192, 2015, Refereed - Weak convergence of nonadditive measures defined by Choquet and Sugeno integrals
Jun Kawabe
Proceedings of the Fourth Intenational Symposium on Banach and Function Spaces, 4, 63-79, 2014, Refereed - The bounded convergence theorem for Riesz space-valued Choquet integrals
Jun Kawabe
Bull. Malays. Math. Sci. Soc., 35, 537-545, 2012, Refereed - Some properties on the regularity of Riesz space-valued non-additive measures
Jun Kawabe
Banach andfunction spaces II (M.Kato and L.Maligranda, eds.), 2, 337-348, 2008 - The countably subnormed Riesz space with applications to non-additive measures
Jun Kawabe
2005 Symposium on Applied Functional Analysis (M.Tsukada, W.Takahashi, M.Murofushi, eds.), 1, 279-292, 2007 - The portmanteau theorem for Dedekind complete Riesz space-valued measures
Jun Kawabe
Nonlinear Analysis and convex analysis (eds W. Takahashi and T. Tanaka, Yokohama Publishers, 2003), 149-158, 2004, Refereed - Weak convergence of vector measures
Jun Kawabe
Banach and function spaces (eds M. Kato and L. Maligranda, Yokohama Publishers, 2003), 253-277, 2004, Refereed - Borel products of Riesz space-valued measures on topological spaces
Jun Kawabe
Sci. Math. Japonicae, 60(3), 563-576, 2004, Refereed - Compactness and metrizability in the space of vector measures in locally convex spaces
Jun Kawabe
Sci. Math. Japonicae, 55(3), 493-503, 2002, Refereed - Compactness criteria for the weak convergence of vector measures in locally convex spaces
Jun Kawabe
Publ. Math. Debrecen, 60(2), 115-130, 2002, Refereed - Continuity of fuzzy controller
T. Mitsuishi, J. Kawabe, Y. Shidama
Mech. Math. Appl., 1(1), 31-38, 2000, Refereed - Existence of Optimal Fuzzy Rules in Fuzzy Control
T. Mitsuishi, J. Kawabe, K. Wasaki, Y. Shidama
Proc. Appl. Math., 2, 77-86, 2000, Refereed - Optimization of Fuzzy Feedback Control Determined by Product-Sum-Gravity Method
T. Mitsuishi, J. Kawabe, K. Wasaki, Y. Shidama
J. Nonlinear Convex Anal., 1(2), 201-211, 2000, Refereed - Weak convergence of compound probability measures on uniform spaces
Jun Kawabe
Tamkang J. Math., 30(4), 271-288, 1999, Refereed - Compactness criteria for the weak topology of vector measures
Jun Kawabe
Proc. Banach spaces and related topics, 2, 15-20, 1997, Refereed - Uniform tightness for transition probabilities
Jun Kawabe
Tamkang J. Math., 26(4), 283-298, 1995, Refereed - Weak compactness of vector measures
Jun Kawabe
Proc. Appl. Funct. Anal., 14, 136-146, 1995, Refereed - A criterion for weak compactness of measures on product spaces with applications
Jun Kawabe
Yokohama Math. J., 42, 159-169, 1994, Refereed - Convergence of compound probability measures on topological spaces
Jun Kawabe
Colloq. Math., 67(2), 161-176, 1994, Refereed - Uniform tightness of probability measures on nuclear spaces
Jun Kawabe
Proc. Appl. Funct. Anal., 11, 70-79, 1988, Refereed - Stochastic convergence of random elements in a Banach space
Jun Kawabe
Proc. Appl. Funct. Anal., 8, 48-59, 1985, Refereed - Characterization of L^2-convergence of random elementsand its application
Jun Kawabe
Sem. Appl. Funct. Anal., 7, 112-117, 1984, Refereed - A note on independent vector valued random variables
Jun Kawabe
Sem. Appl. Funct. Anal., 5, 110-117, 1982, Refereed
MISC
Books and other publications
- Probability and Statistics
大野博道・岡本葵・河邊淳・鈴木章斗, Joint work
培風館, 75-115, 126-141 09 Sep. 2021
ISBN:978-4-563-01022-5微分積分の基礎
飯田洋一・大野博道・岡本葵・河邊淳・鈴木章斗・高野嘉寿彦, Joint work
培風館, 55-89 31 Jan. 2018, Refereed
ISBN:9784563012199応用解析の基礎
大野博通・加藤幹雄・河邊 淳・鈴木章斗, Joint work
培風館, 1-86 12 Jun. 2013
ISBN:9784563011499数理情報科学辞典
大矢雅則他編, Joint work
朝倉出版, 1995微分方程式概説
奥山安男・河邊淳・木村盛茂・酒井雄二・山崎基弘, Joint work
培風館, 1-56 15 Jan. 1994Affiliated academic society
Research Themes
- Nonadditive Measure Theory
Grant-in-Aid for Scientific Research
2005 - Weak convergence of vector measures with values in Riesz spacesand its applications
Grant-in-Aid for Scientific Research
2003 - Mathematical basis on fuzziness and uncertainty
Grant-in-Aid for Scientific Research
1998 - Weak convergence of vector measures on topological spaces
Grant-in-Aid for Scientific Research
1995 - A study of nonlinear integrals as the integrals of nonadditive measure using perturbation method
- A unified approach to convergence theorems of nonlinear integrals
- Further investigation of convergence theorems of nonlinear integrals and its applications to function spaces based on nonlinear integrals