Academic Organization | Academic Assembly School of Science and Technology Institute of Engineering | TEL | ||
---|---|---|---|---|

Education and Research Organization | Faculty of Engineering Division of Mathematics and Physics | FAX | ||

Position | Professor | Mail Address | ||

Address | Faculty of Engineering, Shinshu University, 4-17-1 Wakasato, Nagano, 380-8553, Japan | Web site |

Modified:08/08/2017

- Assigned Class
- Graduate School, Division of Science and Technology

Interdisciplinary Graduate School of Science and Technology

- Research Field
- Basic analysis

Keywords:vector measure , measures on topological spaces , nonadditive measure , nonlinear integral , Choquet integral

- Current Subject
- Nonadditive Measure Theory

Keywords:nonadditive measure , nonlinear integral , 2005-

Weak convergence of vector measures with values in Riesz spacesand its applications

Keywords:ordered linear space , weak convergence of measures , vector measure , Riesz space , 2003-

Mathematical basis on fuzziness and uncertainty

Keywords:fuzzy set , fuzzy number , probability , 1998-

Weak convergence of vector measures on topological spaces

Keywords:topological space , weak convergence of measures , vector measure , Banach space , 1995-

- Academic Societies
**Academic Societies**

Mathematical Society of Japan

International Society for Mathematical Sciences

- Academic Background
**Graduate School**

Tokyo Institute of Technology , (Department of Information Sciences , Graduate School, Division of Science and Engineering) , 1986

Tokyo Institute of Technology , (Department of Information Sciences , Graduate School, Division of Science and Engineering) , 1983**College**

Tokyo Institute of Technology , (Faculty of Science) , 1981**Degree**

Doctor of Science , Tokyo Institute of Technology

- Research Career
**Research Career**

2003- , Faculty of Engineering, Shinshu University Professor

2005-2006 , Massachusetts Institute of Technology Visiting Researcher

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

- Books, Articles, etc.
**Books**

応用解析の基礎

培風館 , :1-86 2013(Jun. 12)

Author:大野博通・加藤幹雄・河邊 淳・鈴木章斗

数理情報科学辞典

朝倉出版 1995

Author:大矢雅則他編

微分方程式概説

培風館 , :203頁 1994

Author:奥山安男，河邊 淳，木村盛茂，酒井雄二，山崎基弘**Articles**

The monotone convergence theorems for nonlinear integrals on a topological space

Linear and Nonlinear Analysis,2(2):281-300 2016(Dec. 31)

Author:Jun Kawabe

非加法的測度と非線形積分ー理論的展開に焦点を当ててー

数学,68(3):266-292 2016

Author:河邊 淳

A unified approach to the monotone convergence theorem for nonlinear integrals

Fuzzy Sets Systems,304:1-19 2016

Author:Jun Kawabe

Weak convergence of nonadditive measures based on nonlinear integrals

Fuzzy Sets Systems,289:1-15 2016

Author:Jun Kawabe

The structural characteristics of Choquet functionals

J. Nonlinear Convex Anal.,16(11):2181-2192 2015

Author:Jun Kawabe

The bounded convergence in measure theorem for nonlinear integral functionals

Fuzzy Sets Systems,271:31-42 2015

Author:Jun Kawabe

Weak convergence of nonadditive measures defined by Choquet and Sugeno integrals

Proceedings of the Fourth Intenational Symposium on Banach and Function Spaces,4:63-79 2014

Author:Jun Kawabe

The Choquet integral representability of comonotonically additive functionals in locally compact spaces

Int. J. Approximate Reasoning,54:418-426 2013

Author:Jun Kawabe

Metrizability of the Lévy topology on the space of nonadditive measure on metric spaces

Fuzzy Sets Systems,204:93-105 2012

Author:Jun Kawabe

The bounded convergence theorem for Riesz space-valued Choquet integrals

Bull. Malays. Math. Sci. Soc.,35:537-545 2012

Author:Jun Kawabe

Riesz type integral representations for comonotonically additive functionals

Advances in Intelligent and Soft Computing,100:35-42 2011(Sep. 15)

Author:Jun Kawabe

共単調加法的汎関数のRiesz型積分表示定理

知能と情報（日本知能情報ファジィ学会誌）,23(4):592-595 2011(Aug. 15)

Author:河邊 淳，相馬匡博

The continuity and compactnessof Riesz space-valued indirect product measures

Fuzzy Sets Systems,175:65-74 2011

Author:Jun Kawabe

A study of Riesz space-valued non-additive measures

Integrated Uncertainty Management and Applications, Advances in Soft Computing,68:91-102 2010

Author:Jun Kawabe

Regularities of Riesz space-valued non-additive measures with applications to convergence theorems for Choquet integrals

Fuzzy Sets Systems,161:642-650 2010

Author:Jun Kawabe

Continuity and compactness of the indirect product of two non-additive measures

Fuzzy Sets Systems,160:1327-1333 2009

Author:Jun Kawabe

Some properties on the regularity of Riesz space-valued non-additive measures

Banach andfunction spaces II (M.Kato and L.Maligranda, eds.),2:337-348 2008

Author:Jun Kawabe

The Chouquet integral in Riesz space

Fuzzy Sets and Fuzzy Sets Systems,159:629-645 2008

Author:Jun Kawabe

The countably subnormed Riesz space with applications to non-additive measures

2005 Symposium on Applied Functional Analysis (M.Tsukada, W.Takahashi, M.Murofushi, eds.),1:279-292 2007

Author:Jun Kawabe

The Alexandroff theorem for Riesz space-valued non-additive measures

Fuzzy Sets Systems,158:2413-2421 2007

Author:Jun Kawabe

Regularity and Lusin's theorem for Riesz space-valued fuzzy measures

Fuzzy Sets Systems,158:895-903 2007

Author:Jun Kawabe

The Egoroff property and the Egoroff theorem in Riesz space-valued non-additive measure theory

Fuzzy Sets Systems,158:50-57 2007

Author:Jun Kawabe

The Egoroff theorem for non-additive measures in Riesz spaces

Fuzzy Sets Systems,157:2762-2770 2006

Author:Jun Kawabe

Uniformity for weak order convergence of Riesz space-valued measures

Bull. Austral. Math. Soc.,71:265-274 2005

Author:Jun Kawabe

Borel products of Riesz space-valued measures on topologicalspaces

Sci. Math. Japonicae,60(3):563-576 2004

Author:Jun Kawabe

Weak convergence of vector measures

Banach and function spaces (eds M. Kato and L. Maligranda, Yokohama Publishers, 2003),:253-277 2004

Author:Jun Kawabe

The portmanteau theorem for Dedekind complete Riesz space-valued measures

Nonlinear Analysis and convex analysis (eds W. Takahashi and T. Tanaka, Yokohama Publishers, 2003),:149-158 2004

Author:Jun Kawabe

Prokhorov-LeCam-Varadarajan's compactness criteria for vector measures on metric spaces

Prog. Probab.,55:35-42 2003

Author:Jun Kawabe

Borel injective tensor product and convolution of vectormeasures and their weak convergence

Contemp. Math.,321:101-114 2003

Author:Jun Kawabe

Joint continuity of injective tensor produces of vector measures in Banach lattices

J. Austral. Math. Soc.,74:185-199 2003

Author:Jun Kawabe

Weak convergence of injective tensor products of vector measures

Proc. 3rd Asian Math. Conference 2000 (edited by T. Sunada, P. W. Sy and Y. Lo), World Scientific,:267-279 2002

Author:Jun Kawabe

Compactness criteria for the weak convergence of vector measures in locally convex spaces

Publ. Math. Debrecen,60(2):115-130 2002

Author:Jun Kawabe

Compactness and metrizability in the space of vector measures in locally convex spaces

Sci. Math. Japonicae,55(3):493-503 2002

Author:Jun Kawabe

Optimization of fuzzy feedback control in L^∞ space

Proc. 10th IEEE International Conference of Fuzzy Systems,:896-899 2001

Author:T. Mitsuishi, J. Kawabe, K. Wasaki, Y. Shidama

Sequential compactness for the weak topology of vector measures in certain nuclear spaces

Georgian Math. J.,8(2):283-295 2001

Author:Jun Kawabe

Fuzzy optimal control using simple inference method and function type inference method

Proc. Amer. Control Conference,:1944-1948 2000

Author:T. Mitsuishi, K. Wasaki, K. Ohkubo, J. Kawabe, Y. Shidama

Optimization of fuzzy feedback control determined by product-sum-gravity method

J. Nonlinear Convex Anal.,1(2):201-211 2000

Author:T. Mitsuishi, J. Kawabe, K. Wasaki, Y. Shidama

Continuity of fuzzy controller

Mech. Math. Appl.,1(1):31-38 2000

Author:T. Mitsuishi, J. Kawabe, Y. Shidama

Existence of optimal fuzzy rules in fuzzy control

Proc. Appl. Math.,2:77-86 2000

Author:T. Mitsuishi, J. Kawabe, K. Wasaki, Y. Shidama

A type of Strassen's theorem for positive vector measures with values in dual spaces

Proc. Amer. Math. Soc.,128(11):3291-3300 2000

Author:Jun Kawabe

Membership functions in L^2 space and its application to fuzzy optimal control

Proc. IEEE International Conference on Systems, Man and Cybernetics,3:51-55 1999

Author:T. Mitsuishi, J. Kawabe, K. Wasaki, P. N. Kawamoto, Y. Shidama

Weak convergence of compound probability measures on uniform spaces

Tamkang J. Math.,30(4):271-288 1999

Author:Jun Kawabe

Weak convergence of tensor products of vector measures with values in nuclear spaces

Bull. Austral. Math. Soc.,59(3):449-458 1999

Author:Jun Kawabe

Fuzzyoptimal control in L^2 space

Proc. IFAC Artificial Intelligence in Real-Time Control,7:57-61 1998

Author:T. Mitsuishi, K. Wasaki, J. Kawabe, P. N. Kawamoto, Y. Shidama

Compactness criteria for the weak topology of vector measures

Proc. Banach spaces and related topics,2:15-20 1997

Author:Jun Kawabe

The structure of measurable mappings with values in locally convex spaces

Proc. Amer. Math. Soc.,124(5):1513-1515 1996

Author:Jun Kawabe

Uniform tightness for transition probabilities

Tamkang J. Math.,26(4):283-298 1995

Author:Jun Kawabe

Weak compactness of vector measures

Proc. Appl. Funct. Anal.,14:136-146 1995

Author:Jun Kawabe

A criterion for weak compactness of measures on product spaces with applications

Yokohama Math. J.,42:159-169 1994

Author:Jun Kawabe

Convergence of compound probability measures on topological spaces

Colloq. Math.,67(2):161-176 1994

Author:Jun Kawabe

Uniform tightness of probability measures on nuclear spaces

Proc. Appl. Funct. Anal.,11:70-79 1988

Author:Jun Kawabe

Characterization of Hilbert spaces by the strong law of large numbers

J. Multivar. Anal.,20(1):155-160 1986

Author:Jun Kawabe

Probabilistic characterization of certain Banach spaces

Kodai Math. J.,9(1):68-76 1986

Author:Jun Kawabe

Stochastic convergence of random elements in a Banach space

Proc. Appl. Funct. Anal.,8:48-59 1985

Author:Jun Kawabe

On the compactness criterion for probability measures on Banach spaces

Proc. Japan Acad.,61(10):337-340 1985

Author:Jun Kawabe

Characterization of L^2-convergence of random elementsand its application

Sem. Appl. Funct. Anal.,7:112-117 1984

Author:Jun Kawabe

A note on independent vector valued random variables

Sem. Appl. Funct. Anal.,5:110-117 1982

Author:Jun Kawabe**Others**

Editorial Special issue: Nonlinear mathematics for uncertainty and its applications

Int. J. Approximate Reasoning , 54:355-356 2013

Author:Shoumei Li, Jun Kawabe

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