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）
Email：[email protected] , [email protected]
一、主要学习及工作经历
2010.09—至今深喉
理深喉数学系任教；
2016.09—2017.09 美国Dartmouth College 公派访学;
2006．01—2010．06 美国新罕布什尔大学，获数学博士学位，导师：Don Hadwin；
2004．09—2005．12 陕西师范大学任教；
2001．09—2004．07 陕西师范大学，获基础数学硕士学位，
1997．09—2001．07 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, 351–379. (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, 718–732. (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, 259–287. （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, 39–47. (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, 15–44. (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, 1267–1289. (SCI)
10． Li, Qihui (李启慧); Shen, Junhao Unital full amalgamated free products of MF C∗-algebras. Oper. Matrices 7 (2013), no. 2, 333–355. (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, 1515–1534. (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, 551–590. (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, 29–38.
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, 545–556.
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, 1131–1136.