Doctor of Science, Tokyo Institute of Technology (JAPAN)

Basic analysis, Basic analysis

2023
信州大学, 特任教授

2005 - 2006
Massachusetts Institute of Technology Visiting Researcher

2003 - 2023
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

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

The continuous Choquet integral representation theorems in an abstract setting
Jun Kawabe
Fuzzy Sets and Systems, 497, 109115 (20 pages), 01 Dec. 2024, Refereed
Lead

The equivalence of the topologies on the space of measurable functions defined by nonadditive measures and nonlinear integrals
Jun Kawabe
Research Bulletin, (98), 97-114, 2023

Topological and topological linear properties of the Sugeno-Lorentz spaces
Jun Kawabe
Fuzzy Sets and Systems, 467, 108507 (19 pages), 2023, Refereed

The completeness and separability of function spaces in nonadditive measure theory
Jun Kawabe, Naoki Yamada
Fuzzy Sets and Systems, 05 Oct. 2022, Refereed

Base topologies and convergence in nonadditive measure
Alexander Zimper, Sebastian Zimper, Jun Kawabe
Fuzzy Sets and Systems, 08 Sep. 2022, Refereed

The topology on the space of measurable functions that is compatible with convergence in nonadditive measure
Jun Kawabe
Fuzzy Sets and Systems, 02 Jun. 2021, Refereed

Nonadditive measures and nonlinear integrals--focusing on a theoretical aspect--
Jun Kawabe
Sugaku Expositions, 34(1), 61-92, Jun. 2021

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

Convergence in measure theorems of nonlinear integrals of functions integrable to the pth power
Jun Kawabe
Fuzzy Sets and Systems, 396, 29-41, 01 Oct. 2020, Refereed

Convergence in measure theorem of the Choquet integral revisited
Jun Kawabe
Lecture Notes in Artificial Intelligence, Modeling Decisions for Artificial intelligence, 11676, 17-28, 04 Sep. 2019, Refereed

The Vitali convergence in measure theorem of nonlinear integrals
Jun Kawabe
Fuzzy Sets and Systems, 379, 63-81, 01 Sep. 2019, Refereed

A unified approach to convergence theorems of nonlinear integrals
Jun Kawabe
Advances in Mathematical Economics, 22, 93-116, 01 Jun. 2018, Refereed

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

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
河邊　淳
数学, 68(3), 266-292, 2016, Refereed

A unified approach to the monotone convergence theorem for nonlinear integrals
Jun Kawabe
Fuzzy Sets Systems, 304, 1-19, 2016, Refereed

Weak convergence of nonadditive measures based on nonlinear integrals
Jun Kawabe
Fuzzy Sets Systems, 289, 1-15, 2016, Refereed

The structural characteristics of Choquet functionals
Jun Kawabe
J. Nonlinear Convex Anal., 16(11), 2181-2192, 2015, Refereed

The bounded convergence in measure theorem for nonlinear integral functionals
Jun Kawabe
Fuzzy Sets Systems, 271, 31-42, 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 Choquet integral representability of comonotonically additive functionals in locally compact spaces
Jun Kawabe
Int. J. Approximate Reasoning, 54, 418-426, 2013, Refereed

The bounded convergence theorem for Riesz space-valued Choquet integrals
Jun Kawabe
Bull. Malays. Math. Sci. Soc., 35, 537-545, 2012, Refereed

Metrizability of the Lévy topology on the space of nonadditive measure on metric spaces
Jun Kawabe
Fuzzy Sets Systems, 204, 93-105, 2012, Refereed

Riesz type integral representations for comonotonically additive functionals
Jun Kawabe
Advances in Intelligent and Soft Computing, 100, 35-42, 15 Sep. 2011, Refereed

共単調加法的汎関数のRiesz型積分表示定理
河邊　淳，相馬匡博
知能と情報（日本知能情報ファジィ学会誌）, 23(4), 592-595, 15 Aug. 2011, Refereed

The continuity and compactnessof Riesz space-valued indirect product measures
Jun Kawabe
Fuzzy Sets Systems, 175, 65-74, 2011, Refereed

A study of Riesz space-valued non-additive measures
Jun Kawabe
Integrated Uncertainty Management and Applications, Advances in Soft Computing, 68, 91-102, 2010

Regularities of Riesz space-valued non-additive measures with applications to convergence theorems for Choquet integrals
Jun Kawabe
Fuzzy Sets Systems, 161, 642-650, 2010, Refereed

Continuity and compactness of the indirect product of two non-additive measures
Jun Kawabe
Fuzzy Sets Systems, 160, 1327-1333, 2009, 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 Chouquet integral in Riesz space
Jun Kawabe
Fuzzy Sets and Fuzzy Sets Systems, 159, 629-645, 2008, Refereed

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 Alexandroff theorem for Riesz space-valued non-additive measures
Jun Kawabe
Fuzzy Sets Systems, 158, 2413-2421, 2007, Refereed

Regularity and Lusin's theorem for Riesz space-valued fuzzy measures
Jun Kawabe
Fuzzy Sets Systems, 158, 895-903, 2007, Refereed

The Egoroff property and the Egoroff theorem in Riesz space-valued non-additive measure theory
Jun Kawabe
Fuzzy Sets Systems, 158, 50-57, 2007, Refereed

The Egoroff theorem for non-additive measures in Riesz spaces
Jun Kawabe
Fuzzy Sets Systems, 157, 2762-2770, 2006, Refereed

Uniformity for weak order convergence of Riesz space-valued measures
Jun Kawabe
Bull. Austral. Math. Soc., 71, 265-274, 2005, Refereed

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

Borel injective tensor product and convolution of vectormeasures and their weak convergence
Jun Kawabe
Contemp. Math., 321, 101-114, 2003, Refereed

Joint continuity of injective tensor produces of vector measures in Banach lattices
Jun Kawabe
J. Austral. Math. Soc., 74, 185-199, 2003, Refereed

Prokhorov-LeCam-Varadarajan's compactness criteria for vector measures on metric spaces
Jun Kawabe
Prog. Probab., 55, 35-42, 2003, 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

Weak convergence of injective tensor products of vector measures
Jun Kawabe
Proc. 3rd Asian Math. Conference 2000 (edited by T. Sunada, P. W. Sy and Y. Lo), World Scientific, 267-279, 2002, Refereed

Optimization of fuzzy feedback control in L^∞ space
T. Mitsuishi, J. Kawabe, K. Wasaki, Y. Shidama
Proc. 10th IEEE International Conference of Fuzzy Systems, 896-899, 2001, Refereed

Sequential compactness for the weak topology of vector measures in certain nuclear spaces
Jun Kawabe
Georgian Math. J., 8(2), 283-295, 2001, 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

A type of Strassen's theorem for positive vector measures with values in dual spaces
Jun Kawabe
Proc. Amer. Math. Soc., 128(11), 3291-3300, 2000, Refereed

Fuzzy Optimal Control Using Simple Inference Method and Function Type Inference Method
T. Mitsuishi, K. Wasaki, K. Ohkubo, J. Kawabe, Y. Shidama
Proc. Amer. Control Conference, 1944-1948, 2000, Refereed

Weak convergence of compound probability measures on uniform spaces
Jun Kawabe
Tamkang J. Math., 30(4), 271-288, 1999, Refereed

Weak convergence of tensor products of vector measures with values in nuclear spaces
Jun Kawabe
Bull. Austral. Math. Soc., 59(3), 449-458, 1999, Refereed

Membership functions in L^2 space and its application to fuzzy optimal control
T. Mitsuishi, J. Kawabe, K. Wasaki, P. N. Kawamoto, Y. Shidama
Proc. IEEE International Conference on Systems, Man and Cybernetics, 3, 51-55, 1999, Refereed

Fuzzy Optimal Control in L^2 Space
T. Mitsuishi, K. Wasaki, J. Kawabe, P. N. Kawamoto, Y. Shidama
Proc. IFAC Artificial Intelligence in Real-Time Control, 7, 57-61, 1998, Refereed

Compactness criteria for the weak topology of vector measures
Jun Kawabe
Proc. Banach spaces and related topics, 2, 15-20, 1997, Refereed

The structure of measurable mappings with values in locally convex spaces
Jun Kawabe
Proc. Amer. Math. Soc., 124(5), 1513-1515, 1996, 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

Characterization of Hilbert spaces by the strong law of large numbers
Jun Kawabe
J. Multivar. Anal., 20(1), 155-160, 1986, Refereed

Probabilistic characterization of certain Banach spaces
Jun Kawabe
Kodai Math. J., 9(1), 68-76, 1986, Refereed

Stochastic convergence of random elements in a Banach space
Jun Kawabe
Proc. Appl. Funct. Anal., 8, 48-59, 1985, Refereed

On the compactness criterion for probability measures on Banach spaces
Jun Kawabe
Proc. Japan Acad., 61(10), 337-340, 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

書評: R. R. Phelps: Lectures on Choquet's Theorem, 2nd ed. (Lecture Notes in Math., 1957)
河邊　淳
数学, 70(3), 325-329, 25 Jul. 2018, Refereed

Editorial Special issue: Nonlinear mathematics for uncertainty and its applications
Shoumei Li, Jun Kawabe
Int. J. Approximate Reasoning, 54, 355-356, 2013, Refereed

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. 1994

Mathematical Society of Japan

International Society for Mathematical Sciences

非線形積分が定める関数空間の双対空間の表現とその応用
科学研究費, 基盤研究（C）一般
01 Apr. 2023 - 31 Mar. 2026

非線形積分の収束定理の精密化と非線形積分が定める関数空間の位相的性質の解明
科学研究費補助金, 基盤研究(C)
01 Apr. 2020 - 31 Mar. 2023

分割型積分を含む非線形積分の収束定理の摂動法による統一的解析
科学研究費補助金, 基盤研究(C)（一般）
01 Apr. 2017 - 2019

非加法的測度の積算概念としての非線形積分の研究と摂動法による解析手法の開発
科学研究費補助金, 基盤研究(C)
01 Apr. 2014 - 31 Mar. 2017

不確実さと曖昧さの数理
受託事業, 京都大学数理解析研究所
08 Jan. 2013 - 10 Jan. 2013

測度の弱収束性を用いた非加法的測度の作る空間の位相構造の研究
科学研究費補助金, 基盤研究(C)（一般）
01 Apr. 2011 - 31 Mar. 2014

順序空間の正則性を用いたリース空間値非加法的測度とショケ積分の研究
科学研究費補助金, 基盤研究(C)）
2008 - 2010

順序空間の正則性を用いたRiesz空間値非加法的測度の研究
科学研究費補助金, 基盤研究(C)
2006 - 2007

Nonadditive Measure Theory
Grant-in-Aid for Scientific Research
2005

測度の弱収束の理論とファジィ測度論の研究（海外先進教育実践プログラム）
受託事業
2004 - 2005

順序構造をもつ空間に値をとる正値ベクトル測度の弱収束とその応用
科学研究費補助金, 基盤研究(C)
2003 - 2004

Weak convergence of vector measures with values in Riesz spacesand its applications
Grant-in-Aid for Scientific Research
2003

正値ベクトル測度の弱収束の研究と解析学への応用
科学研究費補助金, 基盤研究(C)
2001 - 2002

京都大学数理解析研究所共同研究集会「函数解析学と数理情報の接点」
受託事業
2001

京都大学数理解析研究所共同研究集会「函数解析学の応用としての情報数理の研究」
受託事業
2000

ベクトル測度の弱収束の研究と解析学への応用
科学研究費補助金, 基盤研究(C)
1999 - 2000

Mathematical basis on fuzziness and uncertainty
Grant-in-Aid for Scientific Research
1998

位相空間上のベクトル測度の弱収束の研究と応用
科学研究費補助金, 基盤研究(C)
1997 - 1998

測度の弱収束の研究と確率的アルゴリズムへの応用（海外研究開発動向調査）
受託事業
1996

無限次元空間上の測度の弱収束の研究と応用
科学研究費補助金, 基盤研究(C)
1995 - 1995

Weak convergence of vector measures on topological spaces
Grant-in-Aid for Scientific Research
1995