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邓春源

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数学科学学院
博士/教授
研究方向:算子理论与算子代数；数学研究与数学竞赛
020-85212806     cydeng@scnu.edu.cn;cydeng@m.scnu.edu.cn
 1. 2003/9 - 2006/7，陕西师范大学，基础数学，博士，导师：杜鸿科
 2. 2000/9 - 2003/7，陕西师范大学，基础数学，硕士，导师：杜鸿科
 3. 1991/9 - 1995/7，湖北民族大学，基础数学，学士
 1. 2014/1 - 至今，       华南师范大学，数学科学学院，教授、博导
 2. 2011/1 - 2013/12，华南师范大学，数学科学学院，教授
 3. 2007/1 - 2010/12，华南师范大学，数学科学学院，副教授
 4. 2006/7 - 2006/12，华南师范大学，数学科学学院，讲师
《数学分析》、《实变函数》、《线性代数》、《矩阵分析》、《泛函分析》、《算子理论》、《C*代数》等课程
6.参加国家自然科学基金项目：算子广义逆的若干理论及应用(11671261,2017.1-2020.12)
5.主持中国-塞尔维亚政府间科技合作项目：广义逆的扰动，几何结构，固定点理论及其应用
4.主持教育部博士点基金项目：基于算子论与算子代数的Drazin逆研究(20094407120001,2010.1-2011.12)
3.参加国家自然科学基金项目：算子论与算子代数的量子效应代数研究(10571113,2006.1-2008.12)
2.参加国家自然科学基金项目：广义逆的表示，扰动和光滑分析(11171222,2012.1-2015.12).
1.主持华南师范大学教改项目：本科和研究生泛函分析全英课程建设 
 
89. The structures and properties of some generalized invertible operators Linear and Multilinear algebra, accpt.
88. On the parallel addition and subtraction of operators on a Hilbert space, Linear and Multilinear algebra, accpt.
87. Certain properties of orthogonal projections, Bulletin of the Iranian Mathematical Society, accpt.
86. Characterizations and representations for the Drazin inverse of anti-triangular block operator matrices with index less than two, Operators and Matrices, accpt.
85 On the properties of weakly parallel summable operators，Linear Algebra and its Applications 635 (2022) 139–158
84.The reflexive selfadjoint solutions to some operator equations, Commun. Math. Res.37(2)(2021),236-254.
83. Remark on the core-EP pre-order of Hilbert space operators, Linear and Multilinear algebra, 69(11) (2021) 2006-2011.
82. Intertwining Operators between Two Orthogonal Projections, Numerical Functional Analysis and Optimization, 41 (14) (2020) 1794-1803.
81. On parallel sum of operators, Linear Algebra and its Application,  603  (2020) 57-83.
80.Characterizations of the Reflection Operators ,Bulletin of the Malaysian Mathematical Sciences Societ, B. Malays. Math. Sci. So. (2020) 43:2799–2816 .
79.On the mixed-typegeneralized inverses of the products of two operators FILOMAT Vol 33, No 14(2019)4361-4376.
78. The solutions to some operator equations  with corresponding operators not necessarily having closed ranges,Linear and Multilinear algebra,67(No 8) (2019) 1606-1624.
77.Chunyuan Deng, Rufang Liu,The existence and expressions of the inverse along operators B and C, Operators and Matrixs,12(2018)1027-1042
76.Chunyuan Deng, Rufang Liu, Xiunan Wang, Expression for the Multiplicative Perturbation of the Moore-Penrose Inverse, Linear and Multilinear algebra, 66(6),2018, 1171-1185
75 D.Mosic, C.Deng, H.Ma, On a weighted core inverse in a ring with involution, Communications in Algebra, 46(6), 2018, 2332-2345.
74 T.Li, X.Wang, C.Deng, The range and kernel relations of a pair of projections, Bulletin of the Malaysian Mathematical Sciences Society, 41 (2018) 1477-1494.
73. Chunyuan Deng,Xiaoli Deng,Chujian Lin,A note on the equation AXB=B=BXA, Applied Mathematics Letters 81 (2018) 86–92.
72. Xiunan Wang,Chunyuan Deng, Properties of m-EP operators, Linear and Multilinear algebra,VOL. 65, NO. 7 (2017) 1349–1361.
71 Tengfei Li, Chunyuan Deng, On the invertibility and range closedness of the linear combinations of a pair of projections, Linear and Multilinear algebra, 65(3) (2017) 613-622.
70. AnqiYu and Chunyuan Deng, Characterizations  of DMP inverse in a Hilbert space,CALCOLOA Quarterly on Numerical Analysis and Theory of Computation, 53(3) (2016) 331–341.69. X. wang, A. Yu, T. Li, C. Deng, Reverse order laws for the Drazin inverses，Journal of Mathematical Analysis and Applications，444(1)  (2016) 672–689.
68. Anqi Yu, Xiunan Wang, Chunyuan Deng, On the Drazin inverse of an anti-triangular block,Linear AlgebraanditsApplications,489(2016)274–287.
67. Chunyuan Deng, Group invertibility of Operators, Electronic Journal of Linear Algebra, Volume 31, 2016, pp. 492-510.
66. C. Deng, Anqi Yu, Yimin Wei, Characterizations and Representations of the (P,Q)-Outer Generalized Inverse, Applied Mathematics and Computation, 269 (2015) 432–442
65. Chunyuaan Deng, Anqi Yu, Relationships between DMP relation and some partial orders,Applied Mathematics and Computation,266(2015) 41-53.
64. Chunyuaan Deng, Anqi Yu, Some relations of projection and star order in Hilbert space,Linear AlgebraanditsApplications 474(2015)158–168.
63.Chunyuan Deng, Geometry structures of the generalized inverses of block  two-by-two matrices, Applied Mathematics and Computation. 250, 1 January 2015, 479–491.
62.Chunyuan Deng, Some properties on the star order of bounded operators, J. Math. Anal. Appl. Volume 423, Issue 1, 1 March 2015, Pages 32–40.
61.Chunyuan Deng,Revisitation of the Inheritance of Linear Combinations Of Tripotent,Idempotent and Involutory Operators, Journal of South China Normal University(Natural Science Edition), 46(1) (2014), 7-10.
60.Chunyuan Deng,On the invertibility of Hilbert space idempotents, Acta Mathematica Scientia,2014,34B(2):523–536.
59.Chunyuan Deng,Invertibility and stability of linear combinations of m-potent operators, Linear and Multilinear Algebra,62(2014) 1365-1376.
58.Chunyuan Deng,Note on sequential product of quantum effects, Abstract and Applied Analysis,2013,520436,http://dx.doi.org/10.1155/2013/520436
57.Chun Yuan Deng,Hong Ke Du, Further results on generalized Bott-Duffin inverses,Operators and Matrices, Volume 7, Number 3 (2013), 713-722
56.Chun Yuan Deng, On the solutions of operator equation CAX=C=XAC, J. Math. Anal. Appl. 398 (2013) 664–670.
55.Chunyuan Deng,Characterizations of the Commutators and the Anticommutator Involving Idempotents, Applied Mathematics and Computation 221(2013) 351-359.
54.J.J. Koliha, Dragana S. Cvetkovic-Ilic,  C. Deng,  Generalized Drazin invertibility of combinations of idempotents,Linear Algebra and its Applications 437 (2012) 2317–2324. 
53.Chunyuan Deng, Yimin Wei, Qingxiang Xu, Chuanning Song, On disjoint range operators in a Hilbert space,Linear Algebra and its Applications 437(2012) 2366–2385
52.C. Deng, S. Wang, On some characterizations of the partial orderings for bounded operators, Mathematical Inequalities & Applications, Volume 12, Number 3 (2012), 619–630. 
51.Chunyuan Deng, Dragana S. Cvetkovic-Ilic,Yimin Wei,On invertibility of combinations of k-potent operators, Linear Algebra and its Applications 437 (2012) 376–387.
50.Z. Yang, X. Peng, M. Chen, C. Deng, J. J. Koliha, Fredholm stability results for linear combinations of m-potent operators, Operators and Matrices,  6(2012), 193–199
49 Chunyuan Deng and Yimin Wei, Further results on the Moore-Penrose invertibility of projectors and its applications, LAA, Vol.60,No.1, January 2012,109–129.
48 C. Deng, Dragana S. Cvetkovic-Ilic and Yimin Wei, Properties of the Combinations of Commutative Idempotents, Linear Algebra and its Applications, 436 (2012) 202-221. 
47 Chunyuan Deng, A comment on some recent results concerning the Drazin inverse of an anti-triangular block matrix,Filomat,26(2012),135-145. 
46. Marina Tosic, Dragana S. Cvetkovic-Ilic,  Chunyuan Deng, The MoorePenrose inverse of a linear combination of commuting generalized and hypergeneralized projectors, ELAA,  22(2011) 1129-1137. 
45.Yi Min Wei, Chun Yuan Deng, A Note on Additive Results for the Drazin Inverse, Linear and Multilinear Algebra, 59(12), (2011) 1319-1329.
44.Chun Yuan Deng,Yi Min Wei,Some New Results of the Sherman-Morrison-Woodbury  Formula,  Proceeding of The Sixth Iternational Conference of  MAO,  2 (2011) 220-223. 
43. Chunyuan Deng and Yimin Wei, Representations for the Drazin inverse of 2X2 block-operator matrix with singular Schur  complement,  LAA, 435 (2011) 2766-2783. 
42.Chunyuan Deng, On the idempotent solutions of a kind of operator equations, ISRN Applied Mathematics,Volume 2011, 846165. 
41. Chun Yuan Deng, Reverse order law for the group inverses, Journal of Mathematical Analysis and Applications, 382(2) (2011) 663-671. 
40.Chunyuan Deng, A generalization of the Sherman-Morrison-Woodbury formula, Applied Mathematics Letters 24(9) (2011) 1561-1564. 
39.Chun Yuan Deng，On the Drazin inverses involving power commutativity, Journal of Mathematical Analysis and Applications, 378 (2011) 314–323. 
38.Chun Yuan Deng，Characterizations and Representations of the Group Inverse Involving Idempotents,Linear Algebra and its Applications, 434 (2011) 1067-1079. 
37.Chun Yuan Deng, A note on the range of projection operators.The Southeast Asian Bulletin of Mathematics,34 (2010) 651-656. 
36.Chun Yuan Deng, Yi Min Wei， Perturbation of the generalized Drazin inverse，Electronic Journal of Linear Algebra. 21 (2010), 85-97. 
35.Chun Yuan Deng, On Moore-Penrose inverse of a kind of operators, Proceedings of the Ninth International Conference on Matrix Theory and Its Applications,1(2010), 88-91. 
34.C. Deng, Some representations for the Drazin inverse-the recent new results, Proceedings of the 9th International Conference on Matrix Theory and Its Applications ,1(2010), 84-87. 
33.C. Deng, Y. Wei, Perturbation analysis of the MoorePenrose inverse for a class of bounded operators, Journal of the Korean Mathematical Society, 47(2010), 831-843.
32.Chun Yuan Deng, Yi Min Wei, New Additive Results for the Generalized Drazin Inverse, Journal of Mathematical Analysis and Applications, 370 (2010) 313–321.
31.Chun Yuan Deng, Dragana S. Cvetkovic-Ilic and Yi Min Wei, Some Results on the Generalized Drazin Inverse of Operator Matrices, LAMA,58, 503–521, 2010. 
30.Chunyuan Deng,Generalized Drazin inverses of anti-triangular block matrices,Journal of Mathematical Analysis and Applications.368(2010)1-8. 
29.Dragana Cvetkovic-Ilic C. Deng, The Drazin invertibility of the difference and the sum of two idempotent operators, JCAM, 233 (2010) 1717- 1722.
28.Chun Yuan Deng, On properties of generalized quadratic operators, Linear Algebra and its Applications, 432(4-7) (2010) 847–856. 27.Chun Yuan Deng and Hong Ke Du, Representations of the Moore-Penrose inverse for a class of 2-by-2 block operator valued partial matrices,  LAMA, 58(2010)15-26. 
26.邓春源, 广义幂等算子差的可逆性,数学物理学报中文版, 29(6),1477-1486，2009. 
25.Chun Yuan Deng, On the idempotent solutions of equations ABA=A^2 and BAB=B^2，Proceedings of the third international worksshop on applied matrix theory, 28-31, 2009. 
24.C. Deng, On the invertibility of the operator A-XB, Numerical Linear Algebra with Applications，16(817-831), 2009. 
23.C. Deng, H. Du, Representations of the Moore-Penrose inverse of 2 by 2  block operator valued matrices,  Journal of the Korean Mathematical Society, 46(2009),  1139 -1150. 
22.Chun Yuan Deng, Yi Min Wei, A note on the Drazin inverse of an anti-triangular matrix, Linear Algebra and its Applications, 431(2009), 1910-1922. 
21.Chun Yuan Deng, Yi Min Wei, Characterizations and Representations of the Drazin Inverse of Idempotents，Linear Algebra and its Applications, 431(2009), 1526-1538. 
20.Dragana Cvetkovic-Ilic，Chunyuan Deng，Some results on the Drazin invertibility and idempotents， Journal of Mathematical Analysis and Applications,359 (2009) 731-738. 
19.Chun Yuan Deng, The Drazin inverses of sum and difference of idempotents, Linear Algebra and Its Applications, Linear Algebra and its Applications, 430(2009) 1282-1291. 
18.Chun Yuan Deng, A note on the Drazin inverses with Banachiewicz-Schur forms, Applied Mathematics and Computation，213(2009)，230-234.
17.Chun Yuan Deng, The generalized inverse of upper triangular operator matrix and its applications in perturbation analysis, Advances in Matrix theory and its applications (Proceedings of the Eighth International Conference on Matrix Theory and Its Applications in China ),volume II, 2008. 35-38. 
16.杜鸿科,王月清,李启慧,邓春源, 广义导算子的范数可达性, 数学学报中文版, 51(2008), 29-38. 
15.Chun Yuan Deng, A new characterization of the closedness of the sum of two subspaces, Acta Mathematica Scientia, 28B(2008), 17-23. 
14.Chun Yuan Deng，The Drazin inverse of bounded operators with commutativity up to a factor，Applied Mathematics and Computation 206 (2008)， 695–703. 
13.Hong Ke Du，Chun Yuan Deng，Mbekhta Mostafa, Müller Vladimír， On spectral properties of linear combinations of idempotents. Studia Math. 180(3) (2007), 211—217. 
12.邓春源,杜鸿科,Hilbert空间上线性算子的Drazin可逆性，数学学报中文版,50（2007）, 1263-1270.
11.Chun Yuan Deng, Hong Ke Du, The spectrum of positive operators on Hilbert Lattices, Chinese Quarterly Journal of Mathematics, 22(1)(2007), 52-56. 
10.Chun Yuan Deng, On the minimum gap and the angle between two subspaces, Journal of Computational and Applied Mathematics, 206(2007), 625-630.
9.Chun Yuan Deng, The Drazin inverses of products and differences of orthogonal projections，Journal of Mathematical Analysis and Applications,335(2007), 64-71. 
8.Hong Ke Du， Chun Yuan Deng，Moore-Penrose inverses of products and differences of orthogonal projections, Acta Analysis Functionalis Applicata， 8（2006），104-109. 
7.Hong Ke Du,Chun Yuan Deng, Qi Hui Li, On the Infinimum Problem of Hilbert Space Effects, Science in China: Serices A Mathematics, 49(2006), 545-556. 
6.Chun Yuan Deng, Qi Hui Li, Hong Ke Du, Generalized n-idempotents and hyper-generalized n-idempotents, Northeast. Math. J., 22(2006), 387-394.
5.C. Deng, H. Du, The reduced minimum modulus of Drazin inverses of linear operators on Hilbert spaces,Proceedings of the American Mathematical Society, 134(2006), 3309-3317.
4.邓春源,杜鸿科, 两子空间的公共补与Gro\ss问题，数学学报中文版, 49(5)(2006), 1099-1112.
3.H. Du，C.Deng，The representation and characterization of Drazin inverses of operators on a Hilbert space， Linear Algbra and its Applications. 407(2005), 117-124. 
2.Hong Ke Du，Chun Yuan Deng, A new characterization of gaps between two subspaces， Proceedings of the American Mathematical Society, 133(2005), 3065-3070.
1.Hong Ke Du，Xi Yan Yao，Chun Yuan Deng，Invertibility of linear combinations of two idempotents, Proceedings of the American Mathematical Society, 134(2005), 1451-1457.
2012级 硕士：郭奕俊
2013级 硕士：李洪军
2014级 硕士：虞安琪，硕士学科：李敏怡 翟倩
2015级 硕士：王秀楠，黄紫敬，陈燕玉，阳广平，江明，李苑娇
2016级 硕士：刘如芳，刘瑶，洪琳琳，冷东辉，杨小清，访问学者：李腾飞，  
2017级 博士：梁文婷 硕士 林楚建，邓晓丽，严杜，林晓珊，刘艳芳
2018级 硕士：田晓怡，候书琪，翁锦燕，黄丽纯，李雅菁
2019级 博士：王帅杰 硕士：张婉玉，邝睿斐，杨礼燕，翁冬妮，彭思
2020级 硕士：李晓辉，刘美琪，绉要芳，王如敏，袁诗玲
2021级 硕士：陈滔，赖威宁，李国新 肖阿春 胡溱