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曹鹏

  • 职称：副高级
  • 所属院系：数学与统计学院  
  • 成果数量：2条，属于本单位的个人成果2条

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[外文期刊] Derivations mapping into scattered operators SCIE

作者： Cao, Peng1,2;Zhu, Sen3 （1Beijing Inst Technol, Sch Math & Stat, Beijing 102488, Peoples R China.;2Beijing Inst Technol, Beijing Key Lab Math Characterizat Anal & Applica, Beijing 102488, Peoples R China.;3Jilin Univ, Dept Math, Changchun 130012, Peoples R China.）

出处： STUDIA MATHEMATICA 2023 Vol.268 No.1 P65-74

关键词： RADICALS; ALGEBRAS; COMPACT; SOCLE

摘要： A scattered operator is a bounded linear operator with at most countable spectrum. We prove that if the range of an inner derivation on all bounded li ...

[外文期刊] Perturbation theory for the socle in Banach algebras SCIE

作者： Peng Cao1;1 （1School of Mathematics and Statistics, Beijing Institute of Technology, Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, 102488, China）

出处： Journal of Mathematical Analysis and Applications 2019 Vol.472 No.1 P1132-1135

关键词： Perturbation theory;Socle;Full spectrum;Finite spectrum

摘要： In this paper, we will give a characterization of the socle of a semisimple Banach algebra by perturbation of full spectrum. That is, an element, sayi ...

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曹鹏副高级简介

Educational Background

1999-2003: Bachelors, Beihang University (formal name: Beijing University of  Aeronautics and Astronautics)

2003-2007: Doctors, Beihang University

Working Experience

2007-2012: lectuer, Department of Mathematics, Beijing Institute of Technology

2012-present: Associate Professor, School of Mathematics, Beijing Institute of Technology.

2016-present: associate dean of School of Mathematics and statistics, Beijing Institute of Technology.

Teachings

Mathematical analysis

Publications

      [1]  Peng Cao and Shanli Sun, Lie Algebras Generated by Bounded Linear Operator on Hilbert Space, Journal of Mathematical Analysis and Applications, 327 (2007), 461-470.

　　[2] Peng Cao and Shanli Sun, Quasinilpotent Operators in Operator Lie algebras, Integral Equations and Operator Theory, 58(2007) 35-41. 　

　　[3] Peng Cao and Shanli Sun, Finite dimensional solvable Lie algebras generated by normal operators are commutative , Journal of Mathematical Analysis and Applications, 337 (2008) 928–931.

　　[4] Peng Cao and Shanli Sun, Lie algebras generated by Jordan operators, Studia math. 186 (2008), 267-274.

　　[5] Peng Cao， Quasinilpotent Operators in Operator Lie algebras II , Studia math. 195 (2009), 193-200.

　　[6] Peng Cao， Quasinilpotent Operators in Operator Lie algebras III , Journal of Mathematical Analysis and Applications. 386 (2012), 709–717.

　　[7] Peng Cao, Scattered elements of Banach algebras, Studia Math. 214( 2013), 195-200.

Visiting Positions

Research Projects

The Innovation Foundation of BUAA for PhD Graduates, July, 2005 - July, 2007.


The Basic Research Foundation of Beijing Institute of Technology, Apr, 2008 - Dec,2009.


National Natural Science Foundation of China Project 10801008. Jan. 2009 - Dec.2011.


Excellent young scholars Research Fund of Beijing Institute of Technology. Jan. 2009-Dec. 2010.


Program for Excellent Talents in Beijing City, Jan. 2010-Dec. 2011.

Beijing Higher Education Young Elite Teacher Project, Jan. 2013-Dec. 2015

Awards, Honors and Recognitions

Graduate Students

Conference Talks and Invited Presentations

Conference Organization

Grants & Scholarships Assessor

International Refereed Journals

International Refereed Proceedings