Updated on 2026/02/27

写真a

 
MORI Michiya
 
Organization
Academic Assembly Institute of Science and Technology JOUHOU DENSHI KOUGAKU KEIRETU Associate Professor
Graduate School of Science and Technology Electrical and Information Engineering Associate Professor
Faculty of Engineering Department of Engineering Associate Professor
Title
Associate Professor
External link

Degree

  • 博士(数理科学) ( 2021.3   東京大学 )

Research History

  • Niigata University   Institute of Science and Technology, Academic Assembly   Associate Professor

    2025.12

  • Niigata University   Department of Engineering, Faculty of Engineering   Associate Professor

    2025.12

  • Niigata University   Electrical and Information Engineering, Graduate School of Science and Technology   Associate Professor

    2025.12

Professional Memberships

  • The Mathematical Society of Japan

    2018

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Papers

  • Optimal version of the fundamental theorem of chronogeometry

    Michiya Mori, Peter Semrl

    ADVANCES IN MATHEMATICS   480   2025.11

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.aim.2025.110528

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  • Nonexpansive and noncontractive mappings on the set of quantum pure states

    Michiya Mori, Peter Semrl

    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS   2024.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1017/prm.2024.133

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  • On the Scottish Book Problem 155 by Mazur and Sternbach

    Michiya Mori

    COMPTES RENDUS MATHEMATIQUE   362   2024

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.5802/crmath.572

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  • ON THE SHAPE OF CORRELATION MATRICES FOR UNITARIES

    Michiya Mori

    MATHEMATICA SCANDINAVICA   130 ( 2 )   359 - 363   2024

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.7146/math.scand.a-142800

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  • On the distance from a matrix to nilpotents

    Michiya Mori

    LINEAR ALGEBRA AND ITS APPLICATIONS   679   99 - 103   2023.12

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.laa.2023.09.011

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  • Ring isomorphisms of type II∞$_\infty$ locally measurable operator algebras

    Michiya Mori

    BULLETIN OF THE LONDON MATHEMATICAL SOCIETY   55 ( 5 )   2525 - 2538   2023.10

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1112/blms.12880

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  • Loewner's theorem for maps on operator domains

    Michiya Mori, Peter Semrl

    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES   75 ( 3 )   912 - 944   2023.6

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4153/S0008414X22000219

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  • ON REGULAR *-ALGEBRAS OF BOUNDED LINEAR OPERATORS: A NEW APPROACH TOWARDS A THEORY OF NONCOMMUTATIVE BOOLEAN ALGEBRAS

    Michiya Mori

    TOHOKU MATHEMATICAL JOURNAL   75 ( 3 )   423 - 463   2023

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2748/tmj.20220316

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  • The structure of maps on the space of all quantum pure states that preserve a fixed quantum angle

    Gyorgy Pal Geher, Michiya Mori

    INTERNATIONAL MATHEMATICS RESEARCH NOTICES   2022 ( 16 )   12003 - 12029   2022.8

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1093/imrn/rnab040

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  • Continuous coexistency preservers on effect algebras*

    Michiya Mori, Peter Semrl

    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL   54 ( 1 )   2021.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1088/1751-8121/abcb44

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  • Lattice isomorphisms between projection lattices of von Neumann algebras

    Michiya Mori

    FORUM OF MATHEMATICS SIGMA   8   2020.11

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1017/fms.2020.53

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  • ON 2-LOCAL NONLINEAR SURJECTIVE ISOMETRIES ON NORMED SPACES AND C*-ALGEBRAS

    Michiya Mori

    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY   148 ( 6 )   2477 - 2485   2020.6

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1090/proc/14949

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  • Mankiewicz's theorem and the Mazur-Ulam property for C*-algebras

    Michiya Mori, Narutaka Ozawa

    STUDIA MATHEMATICA   250 ( 3 )   265 - 281   2020

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4064/sm180727-14-11

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  • Isometries between projection lattices of von Neumann algebras

    Michiya Mori

    JOURNAL OF FUNCTIONAL ANALYSIS   276 ( 11 )   3511 - 3528   2019.6

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jfa.2018.10.011

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  • Order Isomorphisms of Operator Intervals in von Neumann Algebras

    Michiya Mori

    INTEGRAL EQUATIONS AND OPERATOR THEORY   91 ( 2 )   2019.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/s00020-019-2510-x

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  • Tingley's problem through the facial structure of operator algebras

    Michiya Mori

    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS   466 ( 2 )   1281 - 1298   2018.10

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    Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.jmaa.2018.06.050

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Books

  • 聞いて納得!大学数学質問箱 集合・論理・位相 篇

    数学セミナー編集部, 日本評論社( Role: Contributor ,  pp. 33-44「∀と∃が複数出てくるとつらい」)

    日本評論社  2025.12  ( ISBN:9784535790476

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    Total pages:iv, 264p   Language:Japanese

    CiNii Books

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Awards

  • CMS G. de B. Robinson Award

    2024   Canadian Mathematical Society   Loewner's theorem for maps on operator domains

    Michiya Mori, Peter Semrl

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  • MSJ Takebe Katahiro Prize for Encouragement of Young Researchers

    2022   The Mathematical Society of Japan   Studies on preserver problems on operator algebras

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Research Projects

  • 作用素の順序と距離の研究

    Grant number:22K13934

    2022.4 - 2027.3

    System name:科学研究費助成事業

    Research category:若手研究

    Awarding organization:日本学術振興会

    森 迪也

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    Grant amount:\4680000 ( Direct Cost: \3600000 、 Indirect Cost:\1080000 )

    順序と距離は、Hilbert 空間上の有界線形作用素を考えるうえで重要な二つの構造である。順序は、(半)正定値作用素全体を正錘とするベクトル順序を考える。距離は主として、作用素ノルムにより定まる距離を考える。作用素の距離や順序についての、線形構造に依拠しない研究には、興味深い話題が数多く存在する、本研究では、そのような話題に関連する問題を解決することを通じて、作用素や作用素環について多角的に理解することを目指す。本研究の研究テーマは大きく三部に分かれる。それぞれについて、研究実績を以下にまとめる。
    (I) 自己共役作用素の集合に対する順序を保つ写像、凸写像、および作用素領域上の正則写像の関係について。その Loewner 理論との比較、作用素平均などの理論への応用について:(II)との関連をもとに研究を進めている。詳しくは後述。
    (II) 射影作用素の順序構造と作用素環の環同型との対応、von Neumann の連続幾何学をもとにしたその抽象化について:(I)とも関連する形で、von Neumann 環の順序に関する既存の成果を一般化する形で、C*環に関する結果が得られないか試行錯誤を行ってきた。
    (III) 作用素の順序・距離構造と数理物理、情報理論の接点について。特に、量子力学や量子情報、相対論に関連した諸問題の研究:この話題に関しては、スロベニア・リュブリャナ大学の Peter Semrl 氏との共同研究を行った。射影空間の等距離写像に関する Wigner の定理の拡張として、非拡大写像や非縮小写像について考察した論文を発表した。また、量子情報の問題と関連した、ユニタリや射影のなす有限距離空間の性質に関する論文を発表した。以上のほかに、作用素環や Banach 空間の距離構造にかかわる論文を2編発表した。

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  • Operator algebras and preserver problems

    Grant number:19J14689

    2019.4 - 2021.3

    System name:Grants-in-Aid for Scientific Research

    Research category:Grant-in-Aid for JSPS Fellows

    Awarding organization:Japan Society for the Promotion of Science

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    Grant amount:\1900000 ( Direct Cost: \1900000 )

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