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。

1983年9月到1988年7月 在意昂4娱乐应用数学系学习，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。

1993年7月到1995年7月 在中国科意昂4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 在意昂4娱乐数学系教学研究。

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。

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)。

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性, 科学通报, 36(1991), 1601-1603;

[3] X. Fang，Amenability of group in the C*-dynamic system🟤，Chinese Science Bulletin👴🏽，37(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 coaction，Chinese J. of contemporary Mathematics😝，15(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,由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 system，Chinese 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, 97年12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. Fang，The invariant continuous-trace C*-algebras by the action of compact abelian groups🧛🏼‍♀️🧕🏻，Chinese Ann. of Math.(B)⬅️，19(1998), 489--498；

[17] X. Fang，The crossed products on the flow of groupoid with quasi-invariant measures，Acta Math. Sinica🚞，14 (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. Fang✒️，The real rank zero property of the inductive limit of separable stable C*-algebras，Analysis，19(1999)，377—3897️⃣；

[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，43（2000）🩱，95--98🦥；

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

[23] X. Fang🦓，Realization 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, 46（2003）🙏🏿，453--456；

[27] X. Fang，The 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 Society，134 (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 automorphisms，Acta Math. Sinica，English Series，Oct. , 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👨🏽‍🦳，2008⛹🏿‍♀️，38(9)👨🏿‍🦱：1035－1045

，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)✂️：195－202

[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，2008，28（10），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🫅🏼🤴，意昂4娱乐学报(自然科学版)，2008🖍🕯，36(2)：277－279

[47]王琳，方小春，非强极大的三角UHF代数上的Lie导子，意昂4娱乐学报(自然科学版)，2008🧍🏻‍♀️，36(2)🤵🏼：280－284

[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，意昂4娱乐学报(自然科学版)，2008，36(9)：1282－1285

[49]杨新兵，方小春😤，刘秀梅，具有迹-NG性质的C*-代数的

群性质🟨，意昂4娱乐学报(自然科学版)👬，2008🌘，36(7)：995－998

[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)🧑🏻‍🦱，2008，21(3)⛹🏻‍♂️，4－7

[51]方小春🌦，陈进勇，对角映射的推广及其性质，厦门理工意昂4学报，2008🧙🏻‍♀️，16(3)🧘🏼‍♀️，43－48

[52]Fan Qingzhai，Fang Xiaochun，Stable rank one and real rank zero for crossed products by finite group actions with the tracial Rokhlin property🧑🏽‍🦳，Chinese 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. 3，433-438

[54] Fan Qingzhai，Fang 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 Xiaochun，Zhao 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 ID033502 (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—90👇🏿；DOI:10.1017/S0004972709000227.

[58] Fang Xiaochun📻，The classification of certain non-simple C^*-algebras of tracial rank zero👷🏿‍♀️，Journal of Functional Analysis, 256（2009），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) 2142-2153；No. 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 zero，Houston Journal of Math.，35 (2009) No. 4, 1111—1129. 0362-1588

[62] Fang Xiaochun，AF embedding of crossed products of certain graph C*-Algebras by quasi-free actions，C. R. Math. Rep. Acad. Sci. Canada👰🏽‍♂️，31 (2009)⛷，No. 3🥅，76—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🥟，52（2009）🧑🏻‍🔬，No. 5🥢，969-974.

[64]Yang Xinbing，Fang Xiaochun，Approximate conjugacy for C*-dynamical systems🤲🏽，Advances in Math.(China)，38 (2009), No. 5，621--628

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

[66]Fang Xiaochun，Zhao Yile, The extensions of C*-algebras with tracial topological rank no more than one, Illinois Journal of Mathematics, 53（2009）✊🏷，No. 2，441-462🍗。

[67] Elliott G. A.🐨，Fang Xiaochun，Ideals and Simplicity of Crossed Products of Graph C*-Algebras by Quasi-free Actions，Muenster J. of Math，3 (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 Hongliang，Fang Xiaochun，Notes on

-algebrasand extensions of AT-algebras by

, Bulletin of the London Mathematical Society(Bull. London Math. Soc.)🧙🏿‍♀️，42 (2010) 275–281.Print ISSN:0024-6093Online ISSN:1469-2120

[70] Fang Xiaochun，Wang 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 Jing👩🏽‍💻，Solutions to operator equations on Hilbert C*-Modules II，Integral 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 ID093522 (2010)，4 pages. ISSN (printed): 0022-2488. ISSN (electronic): 1089-7658.

[75] Fang Xiaochun, Yu Jing，Compatibility and Schur Complements of Operators on Hilbert C*-Module👆🏽🙋🏻‍♀️，Chinese Ann. of Math. (B)，32 (2011), No. 1，69-88. ISSN❌：0252-9599

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

ISSN♻️：1439-8516

[77] Fang Xiaochun👙，AF embedding of crossed products of certain graph C*-Algebras by quasi-free actions (II), Acta Mathematica Sinica🧙🏼，Vol.27 (2011), No.8, 1581-1590, OI: 10.1007/s10114-011-8622-0🦹🏻‍♂️，ISSN🧑🏽‍🎄：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:10.1155/2011/813723🤌🏽🕧，ISSN🤘🏿：1085-3375

[79] Fang Xiaochun，Zhao Yile, Tracial topological rank of certain C*-algebras，Science in China Series A: Mathematics，2295—2308, No. 11, 54( 2011).ISSN1674-7283CN11-5837/O1

[80] Fan Qingzhai, Fang Xiaochun，Non-simple tracial approximation✬👈🏼，Houston Journal of Math.，37(2011) No. 4, 1249—1263. ISSN:0362-1588

[81] Gao Fugen, Fang Xiaochun，The 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,意昂4娱乐学报（自然科学版）, 39(2011), 1880—1882ISSN🥉🏊🏼：0253-374X ，CN：31-1267/N

[83]Li, Xiaochun;Gao, Fugen;Fang, XiaochunSpectrum of quasi-class (A,k) operators.ISRN Math. Anal.2011,Art. ID 415980, 10 pp.

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

[85]Yang Xinbing🥙👌🏿，Fang Xiaochun，The tracial rank for crossed products by finite group actions🥞🥽，Rocky Mountain Journal of Mathematics, 42 (2012), no.1, 339-352.ISSN☂️：0035-7596

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 pages，doi:10.1155/2012/434308ISSN：1085-3375

[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 Xiaochun😓🏋🏽，Generalized 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 Xinbing😴，Fang Xiaochun，The Tracial Class Property for Crossed Products by Finite Group Actions，Abstract and Applied Analysis, 2012, Volume 2012, Article ID 745369, 10 pages🦈，doi:10.1155/2012/745369ISSN🤧🧑🏿‍🍳：1085-3375

[93] Yao, Hongliang👷🏽‍♀️，Fang, Xiaochun，Partial isometries and extensions of AT-algebras🐃，Archiv der Mathematik💓，2012.8.01🤘🏽，99（2）：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（α，β）-导子的拟空间实现性,意昂4娱乐学报（自然科学版）🤸‍♂️，41（2013），No.2👱🏻‍♀️💂🏿，293-298

[98] Fang Xiaochun🛄，Hou Enran and Dong Ge，Solutions to the System of Operator Equations A1X = C1;XB2 = C2;A3XB3 = C3 on Hilbert C*-Modules🥰，Abstract and Applied Analysis, Volume 2013, Article ID 826564, 8 pages

http://dx.doi.org/10.1155/2013/826564, ISSN：1085-3375

[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, FangXiaochun,Lu Fangyan, Wang Ting, Lie Triple Derivable Mappings on Rings，Communications in Algebra,Volume 42,Issue 6, 2014, pages 2510-2527,

DOI 10.1080/00927872.2012.763041, ISSN：0092-7872 (Print), 1532-4125 (Online)

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

DOI: 10.1080/03081087.2013.780603

[102] Xu Xiao-Ming，Fang Xiaochun*, Gao Fugen，Principal Invariant Subspaces Theorems, Linear and Multilinear Algebra, 2014，Vol.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-Ming，The Cuntz comparison in the standard C*-algebra,，Abstract and Applied Analysis, Volume 2014, Article ID 623520, 4 pages. ISSN💇🏻‍♂️：1085-3375

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

[106]Dong Ge, Fang XiaochunVariational 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 ppISSN: 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 Xiaochun🚶‍♂️‍➡️，p-Weak Approximation Property in Banach Spaces, Chinese Journal of Contemporary Mathematics，2015 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 意昂4娱乐自然科学版, 2015, 43(6), 932---937

[113] Zhao Yile，Fang Xiaochun, The Tracial Topological Rank of Extensions of C*-Algebras，Complex Analysis and Operator Theory，10（2016），1181-1201. DOI 10.1007/s11785-015-0488-1，Print ISSN 1661-8254🚴🏿‍♂️，Online ISSN 1661-8262

[114] Li Xin, FangXiaochun,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, . 2016（30）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. ISSN🧑🏽‍🍼：0252-9599

[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] PlievMarat Amurhanovich, Fang Xiaochun,Narrow Orthogonally Additive Operators on Lattice-Normed Spaces,Siberian Mathematical Journal, 2017 , 58 (1) :134-141，ISSN: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]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

[123]范庆斋👈🏼👩🏽‍🍼，方小春，梁月亮，拟对角扩张C*-代数性质，意昂4娱乐学报，2017（45），No.8，1240-1242👂🏼。

[124]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。

[125] Liang Yueliang，Fang Xiaochun The /alpha-comparison property of quasidiagonal extension for C*-agebras,数学进展2017(46)👨‍🦱，No.4，548-556.

[126] Chen Quanyuan*, Fang Xiaochun, Li Changjing, The characterization of generalized Jordan gentralizers on algebras💅🏿🐂，Boletim da Sociedade Paranaense de Matematica♋️，Volume 35, Issue 3, 2017, Pages 225-240

[127] Yang Bing, Fang Xiaochun*，Weak-2-local derivations on finite von Neumann Algebras, Linear and Multilinear Algebra, 2018, 66(8), 1520-1529 , https://doi.org/10.1080/03081087.2017.1363151

[128] Liang Yueliang🎰👩🏼，Fang Xiaochun，The /alpha-comparison property and finite nuclear dimension of generalized inductive limits for C∗-algebras🧑‍🦯，Acta Mathematica Sinica, English Series，Published online: May 18, 2018，https://doi.org/10.1007/s10114-018-7336-y🏄🏿。

[129] Fang Xiaochun🙋🏼‍♀️，Lao 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.

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

[131] Elliott George A., Fan Qinzhai，Fang Xiaochun, Certain properties of tracial approximation C*-algebras, C. R. Math. Rep. Acad. Sci. Canada Vol. 40 (4) 2018, pp. 104-133

[132] Fang Xiaochun, Moslehianb Mohammad Sal, Xu Qingxiang *🏄🏻，On majorization and range inclusion of operators on Hilbert C∗-modules, Linear and Multilinear Algebra, 2018, 66(12), 2493-2500 .

[133] 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, ISSN 1081-3810♋️💆🏼，Volume 34, pp. 381-388, August. 2018，http://repository.uwyo.edu/ela

[134] Dong Ge, Fang Xiaochun☮️，The sub-supersolution method and extremal solutions of quasilinear elliptic equations in Orlicz-Sobolev spaces, Journal of Function Spaces ,2018,Volume 2018, Article ID 8104901, 7 pages. https://doi.org/10.1155/2018/8104901. ISSN: 2314-8896 (Print) ISSN: 2314-8888 (Online).

[135]范庆斋;方小春;梁月亮,拟对角扩张Cuntz半群的某些性质,数学年刊A辑, 2018, 39(4), 449-454🙋‍♀️，

[136]梁月亮，方小春🦹🏽‍♀️➿，乔志琴👨🏿，归纳极限与积C*代数的/alpha-比较性,数学的实践与认识，205-210, 48（2018）No.12，

国际标准刊号(ISSN)：1000-0984。

[137] Yang Bing, Fang Xiaochun*，The structure of 2-local Lie derivations on von Neumann Algebras, Ann. Funct. Anal. 10（2019），no.2, 242—251.

[138] Fan Qinzhai👨🏽，Fang Xiaochun*, Zhao Xia, The comparision properties and large subalgebra are inheritance, Rocky Mountain Journal of Mathematics, Volume 49, Number 6, 2019, 1857-1867.

[139] Dong Ge, Fang Xiaochun*❤️‍🔥，Positive solutions to nonlinear inclusion problems in Orlicz–Sobolev spaces, Applicable Analysis, 2019, 14pages.

https://doi.org/10.1080/00036811.2019.1645327

ISSN: 0003-6811 (Print) 1563-504X (Online)

Journal homepage: https://www.tandfonline.com/loi/gapa20

[140] Zhao Yile🛌🏽，Fang Xiaochun*🚴‍♀️，and Xu Xiaoming🤴🏿，Some properties of tracially quasidiagonal extensions🤮，Chinese Annals of Mathematics(B) 40(2019), No. 1, 97-110.

[141] Jiajie Hua💭，Xiaochun Fang, and Xiaoming Xu👨🏼‍✈️，Continuity of functor with respective to generalized inductive limits, Front. Math. China 2019, 14(3): 551—566，https://doi.org/10.1007/s11464-019-0772-x

[142] Xiaochun Fang👨‍🌾，Xingpeng Zhao，and Xinbing Yang，2-local *-Lie automorphisms of semi-finite factors，Volume 13, Number 3, September 2019👨‍🦽‍➡️，745-759. doi:10.7153/oam-2019-13-53

[143]赵兴鹏,方小春,杨冰，半有限von Neumann代数上的逼近2局部导子🧍‍♂️，意昂4娱乐学报（自然科学版），2019,1350-1354.

1. 算子代数及其应用，中国科意昂4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。

12. C*代数的结构与逼近研究，国家自然科学基金 (11871375))👵🏻，主持人💁🏽‍♂️🔢。

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。

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👼。意昂4娱乐第一，二，三届教学督导专家。

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𓀁；

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。