李长京
职 称:副教授
职 务:数学系副系主任
办公室:长清湖校区文渊楼A263
邮 箱:lcjbxh@163.com
研究方向:算子代数与算子理论
个人简介
李长京,男,1987年生,山东省新泰市人,同济大学基础数学博士,副教授,硕士生导师。近年来致力于算子代数上保持映射及局部映射的研究,获得一批基础性研究成果。在Linear Algebra and its Applications, Linear and Multilinear Algebra, Operators and Matrices, Annals of Functional Analysis等国际权威期刊发表SCI收录论文10余篇。先后主持国家级科研项目1项,省部级等科研项目2项。
研究兴趣
算子代数;保持映射;局部映射
招生方向
硕士研究生招生专业:半群代数理论
开设课程
高等数学;解析几何;泛函分析;线性代数
科研项目
1.国家自然科学基金天元基金:C*-代数的Haagerup性质 (2016.01-2016.12) 主持
2.山东省自然科学基金博士基金:算子代数上的局部Lie同构 (2018.03-2020.12) 主持
3.山东省自然科学基金培育基金:群C*-代数的近似性质研究(2015.07-2016.12)主持
代表性成果
1. Changjing Li ,Fangyan Lu,Xiaochun Fang,Nonlinear mappings preserving product XY+YX* on factor von Neumann algebras,Linear Algebra and its Applications,2013,438(5):2339-2345.
2. Changjing Li ,Fangyan Lu,Xiaochun Fang,Nonlinear xi-Jordan *-derivations on von Neumann algebras,Linear and Multilinear Algebra,2014,62(4):466-473.
3.Changjing Li ,Xiaochun Fang,Lie triple and Jordan derivable mappings on nest algebras,Linear and Multilinear Algebra,2013,61(5):653-666.
4. Changjing Li ,Xiaochun Fang,Fangyan Lu,Ting Wang,Lie triple derivable mappings on rings,Communications in Algebra,2014,42(6):2510-2527.
5.Changjing Li,Fangyan Lu,2-local *-Lie isomorphisms of operator algebras,Aequationes Mathematicae,2016,90(5): 905-916.
6.Changjing Li,Fangyan Lu,2-local Lie isomorphisms of nest algebras,Operators and Matrices,2016,10(2):425-434.
7.Changjing Li,Fangyan Lu,Ting Wang,Nonlinear maps preserving the Jordan triple *-product on von Neumann algebras,Annals of Functional Analysis, 2016,7(3): 496-507.
8.Changjing Li,Fangyan Lu, Nonlinear Maps Preserving the Jordan Triple 1-*-product on von Neumann algebras. Complex Analysis and Operator Theory, 2017,11(1):109-117.
9.Changjing Li,Fangfang Zhao, Quanyuan Chen, Nonlinear maps preserving product X*Y+Y*X on von Neumann algebras, Bulletin of the Iranian Mathematical Society,,2018,44(3): 729-738.
10.Changjing Li,Quanyuan Chen,Strong skew commutativity preserving maps on rings with involution,Acta Mathematica Sinica,English Series,2016,32(6):745-752.
11.Changjing Li,Fangfang Zhao,Quanyuan Chen,Nonlinear skew Lie triple derivations between factors,Acta Mathematica Sinica,English Series,2016,32(7):821-830.
12.Changjing Li,Xiaochun Fang,The (**)- Haagerup property for C*-algebras,Chinese Annnals of Mathematics, Series (B),2016,37(3):367-372.