师资队伍

基本信息

姓名:方小春

部门:数学教学研究中心

职称:教授

E-mail:xfang@tongji.edu.cn

研究方向:

算子代数与泛函分析及其应用。

具体包括:  C*动力系统、 C*代数分类、图C*代数、 算子代数的K群与KK群、群胚C*代数、非交换几何、非交换概率论、算子理论及其应用等。

教育背景:

1983年9月到1988年7月   在同济大学应用数学系学习,获得理学学士学位。 连续三个年度被评为特别优秀学生。

1988年9月到1990年1月   在复旦大学数学研究所学习,导师: 严绍宗教授和童裕生教授,提前毕业攻读博士学位。

1990年1月到1993年7月   在复旦大学数学研究所学习,导师: 严绍宗教授,提前获得理学博士学位。

工作经历:

1993年7月到1995年7月  在中国科学院数学研究所做博士后研究,合作导师: 李炳仁研究员。
1995年7月---至今      在同济大学数学系教学研究。
1995年5月                  获得副教授任职资格并于1995年7月被聘为副教授。
1995年12月                被聘为硕士研究生导师。
2000年7月                  被聘为正教授。
2001年5月                  被聘为博士研究生导师。

主要国外访问:

1997年12月--1998年6月      在加拿大Fields所与G.A.Elliott教授(院士)进行国际合作研究,并访问多伦多大学。

2003年10月--2004年1月      在德国Muenster大学数学研究所做DAAD高级访问学者,访问J. Cuntz教授(名誉博士)。

论文与出版物:

目前在Journal of Functional Analysis、 Ergodic Theory and Dynamical Systems、 Integral Equations and Operator Theory、 Bulletin of the London Mathematical Society、 Proceeding of America Mathematical Society、 Journal of Mathematical Analysis and Applications、 Linear Algebras and Its Applications、 C. R. Math. Rep. Acad. Sci. Canada、 Muenster J. of Math. 、中国科学 等几十种国内外杂志上发表学术论文一百多篇。

 

[1] 方小春, 完全有界映射与一致张量范数,复旦学报自然科学版,30(1991)158-165

[2] 方小春, C*-动力系统中作用群的amenable科学通报, 36(1991), 1601-1603;

[3] X. Fang Amenability of group in the C*-dynamic systemChinese Science Bulletin37(1992)1150-1152

[4] 方小春, 余作用的Arveson谱,数学年刊(A )15(1994) 49-57;

[5] X. Fang The Arveson spectrum of coactionChinese J. of contemporary Mathematics15(1994)49-58

[6] 方小春, 关于群胚的顺从性,数学年刊(A )15(1994)449-454

[7] 方小春, 1-余循环和左不变作用生成的C*动力系统,数学年刊(A )15(1994)712-721

[8] 方小春, 拓扑群胚的诱导表示,数学学报,39(1996)6-15

[9] X. Fang The induced representation of C*-groupoid dynamic systemChinese Ann. of Math.(B)17(1996)103-114

[10]方小春, 余作用交叉积的顺从性,科学通报, 41(1996), No.19, 1823-1823

[11] X. Fang The amenability of crossed product by coaction, Chinese Science Bulletin,  41(1996), No.23, 2022-2023

[12] 方小春, 纽共变系统的交叉积,同济学报, 97年第三期,349--353

[13] 方小春, 关于余作用的交叉积, 同济学报, 97年第六期, 715--717

[14] 方小春, 数学分析中不同类型极限的一致处理方法, 高等数学通报, 9712月;(教学论文)

[15] 方小春,Hilbert 双模的乘子双模,同济学报, 98年第一期,1--4

[16] X. FangThe invariant continuous-trace C*-algebras by the action of compact abelian groupsChinese Ann. of Math.(B)19(1998), 489--498

[17] X. FangThe crossed products on the flow of groupoid with quasi-invariant measures Acta Math. Sinica14 (1998), 541-546

[18] G. A. Elliott and X. Fang, Simple inductive limits of C*-algebras with building blocks from spheres of odd dimension, Contemp. Math.(228), 'Operator Algebra and Operator Theory', 1998, 79--86;

[19] X. FangThe real rank zero property of the inductive limit of separable stable  C*-algebrasAnalysis19(1999)377—389

[20] 方小春,关于的谱结构,同济学报, 28(2000) 78--80

[21] 方小春,具拟不变测度群胚流上的交叉积,数学学报,432000),95--98

[22] X. FangThe Toeplitz algebra on the flow of groupoid , Advance in Mathematics (China)., 29(2000), 549--553

[23] X. FangRealization of Multiplier Hiilbert bimodule on bidual space and Tietze extension theorem, Chinese Ann. of Math.(B)21(2000), 375--380

[24] 方小春,邱伯驺,高维立方体上矩阵函数的投影元在群上的实现,同济学报,28(2001),317—319

[25] 方小春,成荣,邱伯驺,无收点的有向图代数,同济学报,30(2002),1152—1154

[26] 方小春,成荣,邱伯驺,关于连续迹C*代数间的谱映射,数学学报, 462003),453--456

[27] X. FangThe trace space invariance and unitarily group of C*-algebra Chinese Ann. of Math.(B)24(2003), 115--122

[28] 方小春,成荣,邱伯驺, 可能行无限向图代数, 数学学报,Vol. 47(2004), NO.4,687-694

[29] 范庆斋,胡善文,方小春,I(k)中迹极限C*代数的K群,同济学报,Vol. 33(2005)230-233

[30] 房厚庆,方小春,丁娟,  双周期Riemann边值问题解法的注记,合肥工业大学学报, Vol.28(2005)209- - 211

[31] 范庆斋,方小春,迹稳定秩一的C*代数,数学学报,Vol. 48(2005), NO.5,929-934

[32] 范庆斋,方小春,单的迹稳定秩一的C*代数,同济学报,Vol. 33(2005)1696--1698

[33] Fang Xiaochun, Graph C*-Algebras and their ideals defined by Cuntz-Krieger family of possibly row-infinite directed graphs,   Integral Equations and Operator Theory, 54(2006), 301-316  

[34] Fang Xiaochun, The real rank zero property of crossed product,  Proceeding of America Mathematical Society134 (2006), no. 10, 3015-3024

[35] 方小春,房厚庆,范庆斋,关于正元类相等的几个充分条件,同济学报,Vol. 34(2006)1256—1259

[36]方小春,梁月亮,范庆斋,简单迹极限的基本可比性,同济学报,Vol. 34(2006)1108—1110

[37] Liu Shudong, Fang Xiaochun, Extension algebras of Cuntz algebra, Journal of Mathematical Analysis and Applications, 329(2007), 655--663

[38] X. Fang, H. Yang, S. Liu,  General forms of operator algebras on  Pontrjagin Space with neutral invariant subspaces, Linear Algebras and Its Applications, 425(2007), 184--209

[39] Fang Xiaochun, Liu Shudong Lifting unitaries with application to approximately inner automorphismsActa Math. SinicaEnglish SeriesOct. , 2007, Vol. 23, No. 10, 1745--1750

[40] 方小春,杨海涛,JC*-代数的抽象定义,数学学报,50(2007)989--994.

[41] 王琳,方小春,关于有向图代数中Lie理想的注记,数学学报,50(2007),949—954

代数的稳定有限性和弱迹稳定秩一,数学年刊,C*范庆斋,方小春,迹稳定秩一的[42] 28A(2007), 403—412

[43] 方小春,赵益乐,拟对角扩张的近似等距提升,中国科学,A辑,200838(9)10351045

2008理论,数学年刊,K-代数的扩张代数的C*-刘树冬,方小春,纯无限[44] 29A(2)195202

[45] 杨海涛,方小春,空间上JC*-代数的不变子空间,系统科学与数学,2008 2810),1268-1274 ISSN: 1000-0577 CN: 11-2019/O1

[46] 方小春,于静,王琳,有关C*-代数上的投影提升问题,同济大学学报(自然科学版)200836(2)277279

[47] 王琳,方小春,非强极大的三角UHF代数上的Lie导子,同济大学学报(自然科学版)200836(2)280284

[48] 赵益乐,方小春,一类C*-代数乘子代数中的拟对角C*-子代数,同济大学学报(自然科学版)200836(9)12821285

[49] 杨新兵,方小春,刘秀梅,具有迹-NG性质的C*-代数的群性质,同济大学学报(自然科学版)200836(7)995998

[50] 方小春,韩涛,杨新兵,强自吸收C*-代数若干问题研究,青岛大学学报(自然科学版)200821(3)47

[51] 方小春,陈进勇,对角映射的推广及其性质,厦门理工学院学报,200816(3)4348

[52] Fan QingzhaiFang XiaochunStable rank one and real rank zero for crossed products by finite group actions with the tracial Rokhlin propertyChinese Ann. of Math. (B)30  (2009), No.2, 179-186

数学年刊,(II), 理论K-代数的扩张代数的C*-纯无限单, 方小春, 刘树冬[53] 30A (2009), No. 3433-438

[54] Fan QingzhaiFang Xiaochun The cancellation property of simple C*-algebras with tracial stable rank one Advances in Math. (China) 38  (2009), No.1, 69-74

[55] Fang XiaochunZhao Yile, Approximately isometric lifting in quasidiagonal extensions Science in China Series A: Mathematics 52 (2009),  Number 3 , 457-467

[56] Xu Xiao-Ming, Du Hong-Ke, Fang Xiaochun, An Explicit Expression of Supremum of Bounded Quantum Observables, J. Math. Phys. 50, Article ID 033502  (2009) 9 pages;  doi:10.1063/1.3075826

[57] Liu Shudong and Fang Xiaochun, Extension Algebras of Cuntz Algebra (II)Bull. Aust. Math. Soc. 80 (2009), 83—90DOI: 10.1017/S0004972709000227.

[58] Fang XiaochunThe classification of certain non-simple C^*-algebras of tracial rank zero Journal of Functional Analysis, 2562009),No. 11 , 3861-3891

[59] 于静, 方小春,范庆斋,某些C*-代数上的2-局部映射,数学进展, 38 (2009,  No.3, 289-294.

[60] X. Fang, J. Yu, H. Yao,  Solutions to operator equations on Hilbert C*-Modules,  Linear Algebras and Its Applications, 431 (2009) 2142-2153No. 11 , DOI: 10.1016/j.laa.2009.07.009.

[61] Fang Xiaochun Yang Xinbing  Real rank and  stable rank of C*-algebras with tracial rank zeroHouston Journal of Math.35  (2009) No. 4, 1111—1129.  0362-1588

[62] Fang XiaochunAF embedding of crossed products of certain graph C*-Algebras by quasi-free actionsC. R. Math. Rep. Acad. Sci. Canada 31 (2009)No. 376—86.

[63] 刘树冬, 方小春, 魏常果, Cuntz代数的可遗传C*-子代数, 数学学报,522009),No. 5969-974.

[64] Yang XinbingFang XiaochunApproximate conjugacy for C*-dynamical systemsAdvances in Math. (China)38 (2009),  No. 5 621--628

[65] Gao Fugen, Fang XiaochunOn k-quasi-class A operators, Journal of Inequalities and ApplicationsArticle ID 921634 (2009)10 pages; doi: 10.1155/2009/921634.  Vol. 2009.

[66] Fang XiaochunZhao Yile, The extensions of C*-algebras with tracial topological rank no more than one,  Illinois Journal of Mathematics, 532009), No. 2441-462

[67] Elliott G. A. Fang Xiaochun Ideals and Simplicity of Crossed Products of Graph C*-Algebras by Quasi-free ActionsMuenster J. of Math3 (2010),  pp. 11-28.

代数的群,数学年刊,C*极小动力系统生成交叉积Cantor 杨新兵,方小春,[68] 31A (2010) No. 1,  119—128.

[69] Yao HongliangFang XiaochunNotes on -algebras and extensions of AT-algebras by , Bulletin of the London Mathematical Society  (Bull. London Math. Soc.)42 (2010)  275–281. Print ISSN: 0024-6093 Online ISSN: 1469-2120

[70] Fang XiaochunWang Lin, Equivalent definitions of infinite positive elements in simple C*-algebras, Canadian Mathematical Bulletin, Vol.53 (2010),  No.2,  pp. 256-262. ISSN: 0008-4395

[71] Fang Xiaochun, Yu JingSolutions to operator equations on Hilbert C*-Modules IIIntegral Equations and Operator Theory, 68 (2010),  No.1,  pp. 23-60. ISSN: 0378-620X (print version) ISSN: 1420-8989 (electronic version)

[72] Liu Shudong, Fang Xiaochun,  K-theory for certain extension algebras of purely infinite simple C*-algebras, Proceedings - Mathematical Sciences, 120 (2010),  No.4,  pp. 409-416.

[73] Xu Xiao-Ming, Du Hong-Ke, Fang Xiaochun, Li Yuan, The  supremum of linear operators for *-order, Linear Algebras and Its Applications, 433 (2010),  pp. 2198-2207.

[74] Xu Xiao-Ming, Du Hong-Ke, Fang Xiaochun, On the infimum of Bounded Quantum Observables, J. Math. Phys. 51, Article ID 093522  (2010) 4 pages.  ISSN (printed): 0022-2488. ISSN (electronic): 1089-7658.

[75] Fang Xiaochun, Yu JingCompatibility and Schur Complements of Operators on Hilbert C*-ModuleChinese Ann. of Math. (B) 32 (2011),  No. 169-88.  ISSN:0252-9599

[76] Yao Hongliang Fang XiaochunPartial isometries and an invariant of C*-algebras,  Acta Mathematica SinicaVol.27 (2011), Number 4, 799-806.

 ISSN:1439-8516

[77] Fang XiaochunAF embedding of crossed products of certain graph  C*-Algebras by quasi-free actions (II),  Acta Mathematica SinicaVol.27 (2011), No.8, 1581-1590, OI: 10.1007/s10114-011-8622-0ISSN:1439-8516

[78] Quanyuan Chen, Xiaochun Fang, Patiality of Derivations of Operator Algebras in Banach Spaces, Abstract and Applied Analysis, 2011, Volume 2011, Article ID 813723, 13 pages, doi:10.1155/2011/813723ISSN1085-3375

[79] Fang XiaochunZhao Yile, Tracial topological rank of certain C*-algebras Science in China Series A: Mathematics2295—2308, No. 11, 54( 2011). ISSN 1674-7283 CN 11-5837/O1

[80] Fan Qingzhai, Fang XiaochunNon-simple tracial approximationHouston Journal of Math.37(2011) No. 4, 1249—1263.  ISSN: 0362-1588

[81] Gao Fugen, Fang XiaochunThe Fuglede-Putnam theorem and Putnam’s inequality for quasi-class (A, k) operators, Ann. Funct. Annl. 2(2011), no.1, 105-113. ISSN: 2008-8752

[82]方小春,赵冬,徐小明, 标准C*-代数间保持一类正元比较关系的映射, 同济大学学报(自然科学版), 39(2011), 1880—1882 ISSN0253-374X  CN31-1267/N

[83] Li, XiaochunGao, FugenFang, Xiaochun Spectrum of quasi-class (A,k) operators. ISRN Math. Anal.2011, Art. ID 415980, 10 pp.

[84] Gao Fugen, Fang XiaochunWeyl’s theorem for algebraically k-quasiclass A operators, Opuscula Mathematica, 32 (2012), no.1, 125-135   ISSN 1232-9274.

[85] Yang XinbingFang XiaochunThe tracial rank for crossed products by finite group actions Rocky Mountain Journal of Mathematics, 42 (2012), no.1, 339-352. ISSN0035-7596

代数,数学年刊,C*范庆斋,方小春,一类具有弱无孔性质的[86] 33A(2012), 113—122

[87] Fan Qingzhai, Fang Xiaochun, Certain class of C*-algebras preserved by tracial approximation, Front. Math. China  7 (2012), No.3, 449–458, DOI 10.1007/s11464-012-0196-3  1673-3452

[88] Chen Quanyuan, Fang Xiaochun, Strictly cyclic functional, reflexivity of operator algebras,  Abstract and Applied Analysis, 2012, Volume 2012, Article ID 434308, 12 pagesdoi:10.1155/2012/434308 ISSN1085-3375

[89] Xu Xiao-Ming, Fang Xiaochun, Hua Jiajie, On Cuntz Semigroups of Certain C*-algebras, Advances in Math. (China)Vol.41, No.3, 2012, 296-305  ISSN: 1000-0917

[90] Gao Fugen, Fang XiaochunGeneralized Weyl’s theorem and spectral continuity for algebraically quasi-class (A, k) operators, Acta Sci. Math. (Szeged), 78 (2012),  241–250. 0001-6969

[91] Fan Qingzhai, Fang Xiaochun, A class of C*-algebras with non-stable K1-group property,  Acta Mathematica Sinica (Engl. Ser.), 28 2012, 983-988.

[92] Yang XinbingFang XiaochunThe Tracial Class Property for Crossed Products by Finite Group ActionsAbstract and Applied Analysis, 2012, Volume 2012, Article ID 745369, 10 pagesdoi:10.1155/2012/745369 ISSN1085-3375

[93] Yao, HongliangFang, XiaochunPartial isometries and extensions of AT-algebras Archiv der Mathematik2012.8.01992):137~146

[94] Li Changjing, Fang Xiaochun, Lie triple and Jordan derivable mappings on nest algebras, Linear and Multilinear Algebra, 61(2013), 653-666  DOI:10.1080/03081087.2012.703186 Print ISSN: 0308-1087. Online ISSN: 1563-5139

[95] Fang Xiaochun, Fan Qingzhai, Certain properties for crossed products by automorphisms with a certain non-simple tracial Rokhlin property, Ergodic Theory and Dynamical Systems, http://dx.doi.org/10.1017/S0143385712000430 Ergod. Th. & Dynam. Sys. (2013), 33, 1391–1400. ISSN: 0143-3857   EISSN: 1469-4417

[96] Li Changjing, Fangyan Lu, Fang Xiaochun, Nonlinear mappings preserving product XY+YX* on factor von Neumann algebras, Linear Algebra and its Applications, 438 (2013), 2339-2345. ISSN: 0024-3795

[97] 陈全园, 方小春, 算子代数上的(αβ-导子的拟空间实现性,同济大学学报(自然科学版), 412013), No.2 293-298

[98] Fang XiaochunHou  Enran  and Dong GeSolutions to the System of Operator Equations A1X = C1;XB2 = C2;A3XB3 = C3 on Hilbert C*-ModulesAbstract and Applied Analysis, Volume 2013, Article ID 826564, 8 pages

http://dx.doi.org/10.1155/2013/826564,  ISSN1085-3375

[99] Hua Jiajie, Fang Xiaochun, Xu Xiao-Ming, Tracial decomposition rank, Advances in Math. (China)Vol.42, No.2, 2013, 219-225  ISSN: 1000-0917

[100] Li Changjing, Fang Xiaochun, Lu Fangyan, Wang Ting, Lie Triple Derivable Mappings on Rings Communications in Algebra, Volume 42Issue 6, 2014, pages 2510-2527,

DOI 10.1080/00927872.2012.763041, ISSN0092-7872 (Print), 1532-4125 (Online)

[101] Li Changjing, Lu Fangyan, Fang XiaochunNon-linear ξ-Jordan *-derivations on von Neumann algebrasLinear and Multilinear Algebra, 62(2014) pages 466-473

DOI:  10.1080/03081087.2013.780603

[102] Xu Xiao-MingFang Xiaochun*,  Gao FugenPrincipal Invariant Subspaces Theorems, Linear and Multilinear Algebra, 2014Vol.62, 1428-1436,

http://dx.doi.org/10.1080/03081087.2013.832245 Print ISSN: 0308-1087. Online ISSN: 1563-5139

[103] Xiao-Ming Xu*, Hong-Ke Du, Xiaochun Fang, -inverses of Bounded Linear Operators, Acta Mathematica Sinica, English Series, 30(2014), 675-680. ISSN:1439-8516

[104] Fang Xiaochun, Sze Nung-Sing, and  Xu Xiao-MingThe Cuntz comparison in the standard C*-algebra, Abstract and Applied Analysis, Volume 2014, Article ID 623520, 4 pages. ISSN1085-3375

[105] Li Xing, Fang Xiaochun, Constructing k-Schmidt witnesses for infinite-dimensional systems, Linear and Multilinear Algebra, 2015(63), No. 4, 754-764, 0308-1087

[106] Dong Ge,  Fang Xiaochun Variational inequalities with multivalued lower order terms and convex functionals in Orlicz-Sobolev spaces,  J. Funct. Spaces Journal of Function Spaces ,2015, Art. ID 321437, 10 pp.  ISSN: 2314-8896 (Print)  ISSN: 2314-8888 (Online)

[107] Dong Ge, Fang Xiaochun Existence results for some nonlinear elliptic equations with measure data in Orlicz-Sobolev spaces.  Boundary Value Problems  (Bound. Value Probl. ),  2015, 2015:18, 22 pp ISSN: 1687-2770

[108] Xu Xiaoming, Fang Xiaochun, On Principal Invariant Subspaces, Acta Mathematica Sinica, 2015, Vol.31 No.10, 1621-1628

[109] Li Changjing, Fang Xiaochunp-Weak Approximation Property in Banach Spaces, Chinese Journal of Contemporary Mathematics2015 Vol.36, No.3, 219-228, ISSN 0898-5111.

[110] Yan Kai, Fang Xiaochun, Common properties of the operator products in spectral theory, Annals of Functional Analysis (Ann. Funct. Anal.) 6 (2015), no. 4, 60(69). ISSN: 2008-8752

[111] Yan Kai, Fang Xiaochun, Common properties of the operator products in local spectral theory, Acta Mathematica Sinica, English Series, Nov., 2015,Vol. 31, No. 11, pp. 1715–1724.

[112] 侯恩冉 方小春 Hilbert C-模上的广义g-框架的扰动  同济大学自然科学版, 2015, 43(6), 932---937

[113] Zhao YileFang Xiaochun,  The Tracial Topological Rank of Extensions of C*-Algebras Complex Analysis and Operator Theory102016),1181-1201. DOI 10.1007/s11785-015-0488-1 Print ISSN  1661-8254 Online ISSN 1661-8262

[114] Li Xin, Fang Xiaochun, Indecomposable positive linear maps constructed from permutations, Linear and Multilinear Algebra, 2016(64), No. 2, 297-308, ISBN:0308-1087 10.1080/03081087.2015.1036000

[115] Kai Yan, Weigang Su, Xiaochun Fang*, On the stability of the spectral properties under commuting perturbations, Filomat, . 201630 No. 6, 1511-1518. ISSN 0354-5180 (Print)ISSN 2406-0933 (Online)

[116] Xinbing Yang and Xiaochun Fang* , Asymptotic Morphisms for Crossed Products of C*-algebras, Advance in Mathematics (China),数学进展, 2016(45) No. 4, 572-580. 国内刊号11-2312/O1国际刊号1000-0917

[117] Li Changjing, Fang Xiaochun*The (**)-Haagerup Property for C*-Algebras, Chinese Ann. of Math. (B) 37(2016), No. 3, 367—372. ISSN0252-9599

[118] Dong Ge, Fang Xiaochun* Differential equations of divergence form in separable Musielak-Orlicz-Sobolev spaces  19page

Boundary Value Problems.2016, 2016:106 DOI: 10.1186/s13661-016-0612-9 ISSN: 1687-2770

[119] Pliev Marat Amurhanovich, Fang Xiaochun, Narrow Orthogonally Additive Operators on Lattice-Normed Spaces, Siberian Mathematical Journal , 2017 , 58 (1) :134-141ISSN: 0037-4466 (Print) 1573-9260 (Online)

[120] Chen Quanyuan*, Fang Xiaochun, Li Changjing,Jordan ( α , β ) -Derivations on Operator Algebras, J. Funct. Spaces Journal of Function Spaces , 2017,  Volume 2017, Article ID 4757039, 7 pages

https://doi.org/10.1155/2017/4757039.  ISSN: 2314-8896 (Print)  ISSN: 2314-8888 (Online)

[121] Xu Qingxiang*, Fang Xiaochun A note on majorization and range inclusion of adjointable operators on Hilbert C-modules, Linear Algebra and its Applications 516 (2017) 118–125.  ISSN: 0024-3795

[122] Yang Bing, Fang Xiaochun*Weak-2-local derivations on finite von NeumannAlgebras, Linear and Multilinear Algebra, 2017, https://doi.org/10.1080/03081087.2017.1363151.

[123] Fang Xiaochun, Moslehianb Mohammad Sal, Xu Qingxiang *On majorization and range inclusion of operators on Hilbert C-modules, Linear and Multilinear Algebra, to appear.

[124]梁月亮  方小春 范庆斋,非单C*-代数α-比较性的等价刻画, 《数学学报》 , 2017 , 60 (4) :705-712。0583-1431

[125]范庆斋 方小春 梁月亮 ,拟对角扩张C*-代数性质,同济大学学报,201745 No.8 1240-1242

[126] 陈全园*  ,李长京, 方小春  von Neumann代数中CSL子代数上的 Jordan(α,β)-导子, 《数学学报》 , 2017 , 60 (4) :537-546

[127] Liang YueliangFang Xiaochun The \alpha-comparison property of quasidiagonal extension for C*-agebras, 数学进展2017(46) No.4548-556.

[128]Chen Quanyuan*, Fang Xiaochun, Li Changjing, The characterization of generalized Jordan gentralizers on algebras Boletim da Sociedade Paranaense de MatematicaVolume 35, Issue 3, 2017, Pages 225-240

[129] Liang YueliangFang XiaochunThe \alpha-comparison property and finite nuclear dimension of generalized inductive limits for C-algebrasActa Mathematica Sinica, English SeriesPublished online: May 18, 2018https://doi.org/10.1007/s10114-018-7336-y

[130] Fang XiaochunLao Yihui, Preservers for the Tsallis Entropy of Convex Combinations of Density Operators, Advances in Mathematical Physics, Volume 2018, Article ID 5296085, 10 pages, https://doi.org/10.1155/2018/5296085.

[131] Fan Qinzhai Fang Xiaochun*, Crossed products by finite group actions with certain tracial Rokhlin property Acta Mathematica Scientia, 2018, 38B(3):829-842

[132] Eskandari Rasoul, Fang Xiaochun, Moslehianb Mohammad Sal, Xu Qingxiang *Positive solutions of the system of operator equations A_1 X=C_1, XA_2=C_2, A_3XA^*_3=C_3, A_4XA^*_4=C_4 in Hilbert  C^* -modules,  Electronic Journal of Linear Algebra, to appear.

 

 

 

 

 

科研项目:
  1. 算子代数及其应用,中国科学院博士后基金(中国博士后基金冠名基金),主持人。
  2. 连续迹C*代数诱导极限的分类,国家自然科学基金(19601029),主持人。
  3. 顺从C*代数的分类,国家自然科学基金国际合作项目(19711121677),主持人。
  4. C*代数与C*动力系统,教育部高等学校优秀骨干青年教师资助计划,主持人。
  5. 具体C*代数性质与分类研究,国家自然科学基金(10271090),主持人。
  6. 非交换几何,教育部数学发展和人才培养中心项目,主要参加人。
  7. 化学蚁群算法及其对超分子分析体系的多元校正研究,国家自然科学基金 (20175013),主要参加人。
  8. 图C*-代数及其产生的动力系统的分类性质,国家自然科学基金(10771161),主持人。
  9. Cuntz半群与C*-代数及其动力系统的分类研究,国家自然科学基金(11071188),主持人。
  10. C*-代数的近似与分类研究,国家自然科学基金(11371279),主持人。
  11. 群,算子及其结构,国家自然科学基金国际合作项目(1141101088),主持人。

科研论文与研究生培养:

目前在几十种国内外杂志上发表有关学术论文百余篇。

到目前共指导5名博士后, 14名博士生,多名硕士生。

教学状况:

       曾经主讲本科课程有:数学分析, 实变函数, 泛函分析, 离散数学, 复变函数,高等数学等。其中负责的离散数学课程2004年被评为学校精品课程。同济大学第一,二,三届教学督导专家。

学术兼职:

  1. 美国数学会会员,美国《数学评论》评论员,众多方面评审、审稿专家(例如:上海科委教委等评审专家;
  2. 国家自然科学基金、浙江等省自然科学基金、教育部学位委员会等函评专家;
  3. 中国科学、数学学报、数学年刊、数学进展等审稿专家);
  4. The Open Mathematics Journal (ISSN: 1874-1177) 杂志编委;
  5. International Journal of Functional Analysis, Operator Theory and Applications (ISSN: 0975-2919) 杂志编委(Mar. 2009--) ;
  6. “International Journal of Physics and Mathematical Sciences”杂志编委;
  7. “International Journal of Mathematics and its Applications” 杂志编委;
  8. “Advances in Linear Algebra & Matrix Theory (ALAMT) ” 杂志编委;
  9. “Current Advances in Mathematics” 杂志编委;
  10. “运筹与模糊学” 杂志副主编;
  11. 《数学计算》等其他中文杂志编委。

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