李启慧

李启慧 

教授

教授课程:《高等数学(双语)》,《线性代数(双语)》,《复变函数》(数学专业本科),《算子代数》(研究生)

Emailqihui_li@ecust.edu.cn ,  qihui_li@126.com  


一、主要学习及工作经历

2010.09—至今华东理工大学理学院数学系任教;

2016.09—2017.09 美国Dartmouth College 公派访学;           

200601—201006 美国新罕布什尔大学,获数学博士学位,导师:Don Hadwin

200409—200512 陕西师范大学任教;

200109—200407 陕西师范大学,获基础数学硕士学位,

199709—200107 陕西师范大学,获数学学士学位

二、主要研究方向

算子理论与算子代数

三、科研项目

国家自然科学基金面上项目:(2017.01-2020.12

国家自然科学基金青年基金:(2013.01--2015.12);

教育部留学回国人员科研启动基金(2013.01--2015.12);

中央高校基本科研业务费(2013.06--2015.12;

上海高校选拔培养优秀青年教师科研专项基金2011.01—2012.12

参与多项国家自然科学基金面上项目.

四、代表性论文

1. Li, Qihui (李启慧); 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. (SCI)

2. Li, Qihui (李启慧); Hadwin, Don; Li, Weihua; Shen, Junhao Topological orbit dimension of MF C-algebras and NFD algebras. Oper. Matrices 14 (2020), no. 2, 351379. (SCI)

3. Li, Qihui (李启慧),  Wang, Rui.  Some Results on Inner Quasidiagonal C*-algebras.  Acta Math. Sin. (Engl. Ser.)  36.10(2020):1094-1106. (SCI)

4. Li, Qihui (李启慧); Li, Ze; Qian, Wenhua; Wang, Liguang Berger-Shaw theorem of self-commutators in semifinite von Neumann algebras. J. Math. Anal. Appl. 479 (2019), no. 1, 718732. (SCI)

5. Li, Qihui (李启慧); 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, 259287. SCI

6. Li, Qihui (李启慧); Li, Ze A note on inner quasidiagonal C-algebras. Proc. Amer. Math. Soc. 144 (2016), no. 11, 4861–4872. (SCI)

7. Li,Qihui (李启慧); Hadwin, don; Li, ze; Ma, xiujuanʹ; Shen, Junhao. On unital full amalgamated free products of quasidiagonal C-algebras.  Funct. Anal. Appl. 50 (2016), no. 1, 3947. (SCI)

8. Li, Qihui (李启慧); Hadwin, Don; Li, Weihua; Shen, Junhao MF-traces and a lower bound for the topological free entropy dimension in unital C-algebras. J. Operator Theory 71 (2014), no. 1, 1544. (SCI)

9. Li, Qihui (李启慧); Shen, Junhao On MF property of reduced amalgamated free products of UHF algebras. Houston J. Math. 39 (2013), no. 4, 12671289. (SCI)

10 Li, Qihui (李启慧); Shen, Junhao Unital full amalgamated free products of MF C-algebras. Oper. Matrices 7 (2013), no. 2, 333355. (SCI)

11. Li, Qi Hui (李启慧); Hadwin, Don A Bishop-Stone-Weierstrass theorem for (M2(C))n. Acta Math. Sin. (Engl. Ser.) 29 (2013), no. 8, 15151534. (SCI)

12. Li, Qihui (李启慧); Shen, Junhao A note on unital full amalgamated free products of RFD C-algebras. Illinois J. Math. 56 (2012), no. 2, 647–659.  (SCI)

13.  Hadwin, Don; Li, Qihui (李启慧); Shen, Junhao Topological free entropy dimensions in nuclear C-algebras and in full free products of unital C-algebras. Canad. J. Math. 63 (2011), no. 3, 551590. (SCI)

14.  Du, Hong Ke; Wang, Yue Qing; Li, Qi Hui (李启慧); Deng, Chun Yuan Norm attainability of generalized derivations. (Chinese) Acta Math. Sinica (Chin. Ser.) 51 (2008), no. 1, 2938.

15. Du, Hongke; Deng, Chunyuan; Li, Qihui (李启慧). On the infimum problem of Hilbert space effects. Sci. China Ser. A 49 (2006), no. 4, 545556.

16. Fang, Li; Li, Qi Hui (李启慧); Du, Hong Ke Uniqueness of the n-th roots of operators. (Chinese) Acta Math. Sinica (Chin. Ser.) 48 (2005), no. 6, 11311136.



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