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教授
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  • 姓名:曹小红
  • 性别:女
  • 职称:教授
  • 职务:
  • E-mail:xiaohongcao@snnu.edu.cn
  • 工作室:文津楼三层二段2308
性别 职称 教授
职务 邮箱 xiaohongcao@snnu.edu.cn
工作室 文津楼三层二段2308

基本情况

2004年6月毕业于北京大学,获应用数学博士学位,目前主要从事算子理论与算子代数研究,2006年入选教育部“新世纪优秀人才计划”,先后主持完成国家自然科学基金数学天元基金项目一项和教育部新世纪优秀人才支持计划项目一项。目前主持国家自然科学基金面上项目一项。

代表性学术论文

  • 1. Xiaohong Cao, Lei Dai, The stability of the single valued extension property, Journal of Mathematical Analysis   and Applications,390(2012), 368-373.

  • 2. Xiaohong Cao, Aifang Liu, Generalized Kato type and perturbations for property (w), Linear Algebra and its  Applications,  436 (2012), 2231-2239.

  • 3. Xiaohong  Cao, Hejia Zhang,Yanhua Zhang,Consistent invertibility and Weyl’s theorem, Journal of Mathematical Analysis  and Applications,369(2010), 258-264.

  • 4 . Chenhui Sun, Xiaohong Cao, and Lei Dai,Property () and Weyl type theorem, Journal of Mathematical Analysis and  Applications, 363(1)(2010), 1-6.

  • 5. Xiaohong Cao,Weyl type theorem for operator matrices, Studia Mathematica, 186(1) (2008),29-39.

  • 6. Xiaohong Cao, Limits of hypercyclic and supercyclic operator matrices, J. Austr. Math.Soc. 85, (2008), 367-376.

  • 7. Xiaohong Cao,Browder spectra for upper triangular operator matrices, Journal of Mathematical Analysis and Applications,342 (2008),477-484.

  • 8. Xiaohong Cao, Weyl type theorems and hypercyclic operators II, Proc. Amer. Math Soc., 135 (2007), 1701-1708.

  • 9. Xiaohong Cao, A-Browder’s theorem and generalized a-Weyl’s theorem, Acta Math. Sinica,23(5) (2007),951-960.

  • 10. Xiaohong Cao, Weyl spectrum of the products of operators, J.Korean Math. Soc.,45(3)(2008),771- 780.

  • 11. Xiaohong Cao,Topological uniform descent and Weyl’s theorem, Linear Algebra and its Applications,420(1)(2007),175- 182.

  • 12. Xiaohong Cao,Browder essential approximate point spectra and hypercyclicity for operator matrices, Linear Algebra and its  applications,426 (2007),317-324.

  • 13. Xiaohong Cao, Analysis Class A operators and Weyl’s theorem,Journal of Mathematical Analysis and Applications,320 (2006),795-830.

  • 14. Xiaohong Cao,Weyl’s theorem and hypercyclic operators, Journal of Mathematical Analysis and  Applications,323(2006),267- 274.    

  • 15. Xiaohong Cao, Maozheng Guo and Bin Meng,Semi-Fredholm spectrum and Weyl’s theorem for  operator matrices, Acta Mathematica Sinica,22(1) (2006),  169-178.

  • 16. Xiaohong Cao and Ben Meng, Essential approximate point spectrum and Weyl’s theorem for  operator matrices, Journal of Mathematical Analysis and Applications,304 (2005),759-771.

  • 17. Xiaohong Cao and Bin Meng,Weyl’s theorem for upper triangular operator matrices, Linear Algebra  and its Applications,402 (2005),61-73.

  • 18. Xiaohong Cao,Weyl’s theorem for analytically hyponormal operators,Linear Algebra and its Applications,405(2005),229- 238.

  • 19. Xiaohong Cao, Maozheng Guo and Bin Meng, A note on Weyl’s theorem,  Proceedings of the  American Mathematical Society,133(2005),2977-2984.

  • 20. Xiaohong Cao, Maozheng Guo and Bin Meng,Weyl type theorems for p-hyponormal and M- hyponormal operators, Studia Mathematica,163(2)(2004), 177-187.

  • 21. Weijuanshi, Xiaohong cao, Property (w) and its perturbations, Acta Mathematica Sinica, 30(5),  2014,797-804.

  • 22.  孟彬, 曹小红,《算子与框架教程》, 高等教育出版社, 26万字, 2010.

教育科研项目

  • 1. 2007.1至2009.12,对谱理论中若干问题的研究,教育部新世纪优秀人才支持计划资助项目;

  • 2. 2008.1至2008.12,基于量子力学的算子论研究,国家自然科学基金数学天元基金;

  • 3. 2015.1至2018.12,线性算子的谱结构及其扰动,国家自然科学基金面上项目。

教育科研奖励

  • 主持完成的《局部谱的稳定性及其在量子纠错码构造中的应用》获陕西高等学校科学技术奖励一等奖。

讲授课程

  • 本科生:《数学分析》 。

  • 研究生:《实分析与复分析》,《Banach代数技巧》,《谱理论》等。

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