Doctoral Degree
Hebei Normal University
Gender:Male
Business Address:数学楼315
E-Mail:
ABOUT ME:
I am a professor at the School of Mathematical Sciences, Dalian University of Technology.
Research areas: operator theory and operator algebras (operator theory in von Neumann algebras, generator problem, irreducible operator, reducible operators, reduction theory in von Neumann algebras, C*-representation in von Neumann algebras).
CONTACT:
E-Mail: [firstName][lastName]@dlut.edu.cn
Office: School of Mathematical Sciences
EDUCATION:
Sep. 2007 to Jun. 2011: PH. D, Department of Mathematics, Hebei Normal University, Shijiazhuang, China.
Sep. 2004 to Jun. 2007: M.S., School of Science, Hebei University of Technology, Tianjin, China.
Sep. 2000 to Jul. 2004: B.S., School of Science, Hebei University of Technology, Tianjin, China.
POSITIONS:
Dec. 2022 to Present: Professor, School of Mathematical Science, Dalian University of Technology, Dalian, China.
Feb. 2025 to Feb 2026: Visiting Scholar, Department of Mathematics, University of New Hampshire, New Hampshire, US.
Mar. 2019 to May 2019: Visiting Scholar, Department of Mathematics, University of New Hampshire, New Hampshire, US.
Dec. 2016 to Dec. 2022: Associate Professor, School of Mathematical Science, Dalian University of Technology, Dalian, China.
Nov. 2015 to Oct. 2016: Visiting Scholar, Department of Mathematics, University of Puerto Rico, Puerto Rico, US.
Sep. 2013 to 2016: Assistant Professor, School of Mathematical Science, Dalian University of Technology, Dalian, China.
Sep. 2011 to 2013: Postdoctor Fellow, School of Mathematical Science, Dalian University of Technology, Dalian, China.
PUBLICATIONS:
Shen, Junhao; Shi, Rui. Reducible operators in non-Gamma type II1 factors. Math. Annalen, 2026, 394 (2), Article No. 31.
Shen, Junhao; Shi, Rui. Approximate equivalence of representations of AH algebras into semifinite von Neumann factors. J. Noncommut. Geom. 18 (2024), no. 4, pp. 1315–1348.
Fang, Junsheng; Jiang, Chunlan; Shi, Rui. Two problems on operators in type II1 factors. SCIENTIA SINICA Mathematica, 53(2023), no. 12, 1-10.
Shi, Rui. Normed ideal perturbation of irreducible operators in semifinite von Neumann factors. Integral Equations Operator Theory 93 (2021), no. 3, No. 34, 25 pp.
Hu, Xiaoyu; Shi, Rui; Xu, Feng. On a composition of subfactors with group subfactors. Sci. China Math. 64 (2021), no. 2, 373–384.
Li, Qihui; Shen, Junhao; Shi, Rui. A generalization of Voiculescu's theorem for normal operators to semifinite von Neumann algebras. Adv. Math. 375 (2020), 107347, 55 pp.
Shen, Junhao; Shi, Rui. Sum of irreducible operators in von Neumann factors. Proc. Amer. Math. Soc. 148 (2020), no. 7, 2901–2908.
Wen, Shilin; Fang, Junsheng; Shi, Rui. On irreducible operators in factor von Neumann algebras. Linear Algebra Appl. 565 (2019), 239–243.
Hadwin, Don; Shi, Rui. A note on representations of commutative C*-algebras in semifinite von Neumann algebras. Oper. Matrices 12 (2018), no. 4, 1129–1144.
Li, Qihui; Shen, Junhao; Shi, Rui; Wang, Liguang. Perturbations of self-adjoint operators in semifinite von Neumann algebras: Kato-Rosenblum theorem. J. Funct. Anal. 275 (2018), no. 2, 259–287.
Zhu, Zhangsheng; Fang, Junsheng; Shi, Rui. On a class of operators in the hyperfinite II1 factor. Math. Scand. 120 (2017), no. 2, 249–271.()()
Zhu, Zhangsheng; Fang, Junsheng; Shi, Rui. Von Neumann algebras generated by two unitary operators u and v with u2=v3=1. J. Math. Anal. Appl. 453 (2017), no. 2, 1139–1144.
Jiang, Chunlan; Shi, Rui. On the uniqueness of Jordan canonical form decompositions of operators by K-theoretical data. Canad. Math. Bull. 59 (2016), no. 2, 326–339.
Dong, Yunbai; Shi, Rui. Stability of isometries between groups of invertible elements in Banach algebras. Translation of Funktsional. Anal. i Prilozhen. 49 (2015), no. 2, 34–38. Funct. Anal. Appl. 49 (2015), no. 2, 106–109.
Shi, Rui. A reduction theory for operators in type I_n von Neumann algebras. Houston J. Math. 40 (2014), no. 4, 1183–1224.
Shi, Rui. On the uniqueness of the strongly irreducible decompositions of operators up to similarity. Houston J. Math. 40 (2014), no. 2, 447–465.
Ji, Kui; Shi, Rui. Similarity of multiplication operators on the Sobolev disk algebra. Acta Math. Sin. (Engl. Ser.) 29 (2013), no. 4, 789–800.
Shi, Rui. On a generalization of the Jordan canonical form theorem on separable Hilbert spaces. Proc. Amer. Math. Soc. 140 (2012), no. 5, 1593–1604.
CONFERENCE AND WORKSHOP:
October 20-24, 2025 - The Great Plains Operator Theory Symposium (GPOTS 2025), University of Puerto Rico, San Juan, Puerto Rico, US,Invited talk, Title: Density of irreducible operators in the trace-class norm.
August 19-23, 2024 - 第十三届全国算子理论与算子代数会议 (The 13th National Conference on Operator Theory and Operator Algebras.), Taiyuan, Shanxi, China,Plenary talk, Title: Hilbert 空间上有界线性算子的迹类小扰动.
August 7-11, 2023 - International Conference on Noncommutative Geometry, Hebei Normal University and Yanshan University, Qinhuangdao, Hebei, China,Member of the organizing committee.
August 13-16, 2023 - 第十二届全国算子理论与算子代 数会议 (The 12th National Conference on Operator Theory and Operator Algebras.), Dalian, Liaoning, China,Member of the organizing committee.
December 19-23, 2022 - International Conference on C*-algebras and Non-commutative Geometry, Dalian, Liaoning, China,Member of the organizing committee.
July 17-23, 2019 - Conference on Operator Theory and Operator Algebras, and Summer School on Dynamical System, Shijiazhuang, Hebei, China,Invited talk, Title: Irreducible and reducible operators in factor von Neumann algebras.
October 27-30, 2017 - 第九届全国算子理论与算子代 数会议 (The 9th National Conference on Operator Theory and Operator Algebras.), Dalian, Liaoning, China,Member of the organizing committee.
2007.09 to 2011.07
河北师范大学 | 基础数学 | Doctoral Degree
2004.09 to 2007.07
河北工业大学 | 应用数学 | Master's Degree
2000.09 to 2004.07
河北工业大学 | 数学与应用数学 | Bachelor's Degree
2022.12 to Now
大连理工大学
|
教授
2016.12 to 2022.12
Dalian University of Technology
|
School of Mathematical Sciences
|
副教授
|
Associate Professor
2013.09 to 2016.12
大连理工大学
|
讲师
2011.07 to 2013.09
大连理工大学
|
博士后研究员
Functional Analysis (Operator Theory and Operator Algebras)