科研项目列表： 1. 国家自然科学基金青年科学基金项目（No. 11601339），Cuntz半群的插值性质与Cuntz半群分类C*-代数的唯一性定理研究，2017/01—2019/12，主持。 2. 国家自然科学基金数学天元青年基金项目（No. 11326107），C*-代数的Cuntz半群的n-比较性质与插值性质的研究，2014/01—2014/12，主持。 3. 上海高校青年教师培养资助计划项目（No. ZZyyy12021），C*-代数的Cuntz半群的扩张问题，2013/01-2015/12，主持。 4. 国家自然科学基金面上项目（No. 11071188），Cuntz半群与C*-代数及其动力系统的分类研究，2011/01—2013/12，参与。 部分论文列表（*表示通讯作者）： Xiao-Ming Xu*, Yi Huang, Yuan Li; General explicit descriptions for two classes of symmetries involving idempotents, Linear and Multilinear Algebra, 2022, DOI: 10.1080/03081087.2022.2033153. Xiao-Ming Xu, Yuan Li, Yong Chen; On the Characterization of Symmetries Concerning J-Contractive Projections, Complex Analysis and Operator Theory, 2022, Article number: 47 (2022). Shuhui Gao, Yuan Li, Xiao-Ming Xu*; The star order for idempotent operators, Linear and Multilinear Algebra, 2022, 70(19), 4568–4583. Yuan Li, Jiajia Niu, Xiao-Ming Xu*; The minus order for projections, FILOMAT, 2021, 35(8), 2761-2774. Xiao-Ming Xu, Yuan Li; Symmetries for J-projection, Analysis Mathematica, 2020, 46(2): 393–407. Xiao-Ming Xu*, Yuan Li; Star partial order on B_{Id}(H), Annals of Functional Analysis, 2020, 11:1093–1107. Jiajie Hua, Xiaochun Fang, Xiao-Ming Xu; Continuity of functors with respect to generalized inductive limits, Front. Math. China, 2019, 14(3): 551-566. Yile Zhao, Xiaochun Fang, Xiao-Ming Xu; Some properties of Tracially Quasidiagonal Extensions, Chinese Annals of Mathematics, Series B, 2019, 40(1): 97-110. Xiao-Ming Xu*, Xiaochun Fang; On Principal Invariant Subspaces, Acta Mathematica Sinica, English Series, 2015, 31(10): 1621-1628. Xiao-Ming Xu, Xiaochun Fang, Fugen Gao; Principal invariant subspaces theorems, Linear and Multilinear Algebra, 2014, 62(11): 1428-1436. Xiao-Ming Xu*, Hong-Ke Du, Xiaochun Fang; Gamma-inverses of Bounded Linear operators，Acta Mathematica Sinica, English Series, 2014, 30(4)：675-680. Jiajia Hua, Xiaochun Fang, Xiao-Ming Xu; Tracial Decomposition Rank, Advances in Mathematics (China), 2013, 42(2): 219-226. Xiao-Ming Xu*, Xiaochun Fang, Jiajie Hua; On Cuntz semigroups of certain C*-algebras, Advances in Mathematics (China), 2012, 41(3): 296-305. Yuan Li, Xiao-Ming Xu; The Logic Order on a Generalized Hermitian Algebra, Reports on Mathematical Physics, 2012, 69(3): 371-381. Xiao-Ming Xu*, Hong-Ke Du, Xiaochun Fang, Yuan Li; The supremum of linear operators for the *-order, Linear Algebra and Its Applications, 2010, 433(11-12): 2198-2207. Xiao-Ming Xu*, Hong-Ke Du, Xiaochun Fang; On the infimum of bounded quantum observables, Journal of Mathematical Physics, 2010, 51(9), Article number: 093522. Xiao-Ming Xu*, Hong-Ke Du, Xiaochun Fang; An explicit expression of supremum of bounded quantum observables, Journal of Mathematical Physics, 2009, 50(3): Article number: 033502.
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