Lei Li

National Natural Science Foundation of China 12171251

Title: Preservers in noncommutative function spaces

Role: PI

Award Amount: 510,000 yuan

Award Period: 2022-2025

39. Transformations preserving the norm of means between positive cones in general and commutative C*-algebras  (joint with Yunbai Dong, Lajos Molnar and Ngai-Ching Wong), Journal of Operator Theory, vol. 88, no. 2, 365-406, 2022.

38. Two local isometrics on vector-valued differentiable functions (joint with Feifei Miao, Xiao Wang and Liguang Wang), Linear and Multilinear Algebra, vol. 70, no. 13, 2505-2512, 2022.

37. The moment map for the variety of 3-Lie algebras (joint with Hui Zhang and Zhiqi Chen), Journal of Functional Analysis, vol. 283, issue 11, article number 109683, 2022.

36. A projection-less approach to Rickart Jordan structures (joint with Jorge J. Garc{\' e}s, Antonio M. Peralta and Haifa M. Tahlawi), \textit{Journal of Algebra}, vol. 609, 567-605, 2022.

35. Automatic Fatou property of law-invariant risk measures (joint with Shengzhong Chen, Niushan Gao and Denny H. Leung), Insurance: Mathematics and Economics, vol.105, 41-53, 2022.

34. Best constants of Banach-Stone type theorems in  subgroups of $C(K)$ (joint with Yunbai Dong, Denny H. Leung and Liguang Wang), Proceedings of the American Mathematical Society, vol. 150, no.6, 2521-2533, 2022.

33. Maps preserving the norm of the positive sum in $L_p$ spaces (joint with Jingjing Hao and Yunbai Dong), Acta Mathematica Scientia, English Series, vol. 42(B), no. 2, 789-794, 2022.

32. Weak precompactness in Banach lattices (joint with Bo Xiang and Jinxi Chen), Positivity, vol. 26, no. 1, article no. 4, 2022.

31. Multiplication operators on the Bloch space of infinite dimensional bounded symmetric domains (joint with Yunbai Dong, Yongxin Gao and Ya-Shu Wang), Complex Analysis and Operator Theory, 2022, vol. 16, issue 1, article no. 7.

30. How the norm one positive definite functions determine a finite group (joint with Ya-Shu Wang and Yau-Lun Wong), Linear Algebra and its Applications, vol. 633, 2022, 71-103.

29. The structure of linear zero product and commutativity preservers of $C^*$-algebras (joint with Jung-Hui Liu, Luoyi Shi and Ngai-Ching Wong), RACSAM, 2021, vol. 115, article no. 194.

28. On preservers related to the spectral geometric mean (joint with Liguang Wang and Lajos Molnar), Linear Algebra and its Applications, vol. 610, 647-672, 2021.

27. 2-local isometrics on spaces of continuously differentiable function (joint with Ching-Wen Liu, Liguang Wang and Ya-Shu Wang), Journal of Nonlinear and Convex Analysis, vol. 21, no. 9, 2020, 2077-2082.

26. Viscosity algorithms with generalized contractions for monotone inclusion problems and convex minimization problems (joint with Qingqing Cheng), Journal of Nonlinear and Convex Analysis, vol. 21, no. 9, 2020, 2049-2063.

25. Separable universal Banach lattices (joint with Denny H. Leung, Timur Oikhberg and Mary Angelica Tursi), Israel Journal of Mathematics,vol.230, 141-152, 2019.

24. Weak-2-local isometries on uniform algebras and Lipschitz algebras (joint with Antonio M. Peralta, Liguang Wang and Ya-Shu Wang), Publicacions Matematiques, vol. 63, no.1, 2019, 241--264.

23. Surjective isometries on vector-valued differentiable function spaces (joint with Dongyang Chen, Qing Meng and Ya-Shu Wang), Annals of Functional Analysis, vol. 9, no.3, 334-343, 2018.

22. Pelczynski's property (V*) of order p and its quantification (joint with Dongyang Chen and J. Alejandro Chavez-Dominguez)，Mathematische Nachrichten, vol. 291, no. 2-3, 420-442, 2018.

21. p-converging operators and Dunford-Pettis property of order p, (joint with Dongyang Chen and J. Alejandro Chavez-Dominguez), Journal of  Mathematical Analysis and Applications, vol. 461, 1053-1066, 2018.

20. 2-local standard isometries on vector-valued Lipschitz function spaces (joint with Antonio Jimenez-Vargas, Antonio M. Peralta, Liguang Wang and Ya-Shu Wang), Journal of  Mathematical Analysis and Applications, vol. 461, 1287-1298, 2018.

19. The approximation properties determined by operator ideals (joint with Dongyang Chen),
Acta Mathematica Sinica (English Series), Vol.33, no.3, 311--326, 2017.

18. Frames and Approximation Properties for $p$-operator Spaces (joint with Guimei An and Rui Liu), Acta Mathematica Sinica (Chinese Series), vol.60, no.1, 123--132, 2017, (in Chinese).

17. Geometric implications of the M(r,s)-properties and the uniform Kadec-Klee property in JB*-triples (joint with Eduardo Nieto and Antonio M. Peralta), The Quarterly Journal of Mathematics, Vol. 67, No. 4, 2016, 637-651.

16. Orthogonality preservers on JB*-triple-valued functions (joint with Donyang Chen and Qing Meng), Taiwanese Journal of Mathematics, Vol.20, No. 6, 1393-1400, 2016.

15. Inverse of disjointness preserving operators (joint with Denny H. Leung and Ya-Shu Wang), Studia Math., 243(3)(2016), 217-240.

14. Separably injective C*-algebras (joint with Cho-Ho Chu),  Archiv der Mathematik, 106(2016), 553-559.

13. Isometries on the unit sphere of $\ell^1$-sum of strictly convex normed spaces, Annals of Functional Analysis, vol.7, no.1, 2016, 33-41.

12. On a question of Bouras concerning weak compactness of almost Dunford-Pettis sets (joint with Jinxi Chen), Bull. Aust. Math. Soc.,  vol.92, 2015, 111-114.

11. Surjective isometries on the vector-valued differentiable function spaces (joint with R. Wang), J. Math. Anal. Appl., (427)(2015), 547-556.

10. Perturbations of frames (joint with Dongyang Chen, Bentuo Zheng),  Acta Mathematica Sinica (English Series), 30(7)(2014), 1089-1108.

9. Kaplansky theorem on completely regular spaces (joint with Ngai-Ching Wong), Proc. Amer. Math. Soc, 142(4)(2014), 1381--1389.

8. How Lipschitz functions characterize the underlying metric spaces (joint with Ya-Shu Wang), Canad. Math. Bull., 57(2)(2014), 364--374.

7. Order isomorphism on function spaces (joint with Denny H. Leung), Sudia Math., 219(2)(2013), 123--138.

6. Banach-Stone theorems for vector valued functions on completely regular spaces (joint with Ngai-Ching Wong), J. Math. Anal. Appl., 395 (2012), 265--274.

5. Isometries on the quasi-Banach spaces L_p (joint with W. Ren), Acta Math. Sinica, English Series, Vol.26, No.8, 2010,1519--1524.

4. On extension of isometries between unit spheres of $L_\infty$ and $E$ (joint with W. Ren), Quaestiones Mathematicae, vol.31, No.3, 2008, 209--218.

3. The extension of isometries between unit spheres, Acta Math.Sci., vol. 28A, no.6, 2008, 997--1001.

2. On the isometric extension problem: A Survey (joint with R. Liu), Tamsui Oxford Journal of Mathematical Sciences, vol.24, no.4, 2008, 339--354.

1. Extension of isometries between unit spheres, Acta Math. Sinica, Chinese Series, vol.48, no.6, 2005, 1105--1108.