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华南师范大学数学科学学院研究生导师介绍邓春源

华南师范大学 免费考研网/2012-12-11

姓名:邓春源240){this.width*=240/this.height;this.height=240;}">
英文名字:ChunyuanDeng
性别:男
学位:PhD
职称:Professor
研究领域:OperatortheoryandOperatoralgebra
联系方式:cydeng@scnu.edu.cn,cy-deng@263.net
工作经历
主要从事算子论与算子代数,算子广义逆及其扰动分析。已在“ProceedingsoftheAmericanMathematicalSociety”,“JournalofComputationalandAppliedMathematics”,“NumericalLinearAlgebrawithApplications”,“JournalofMathematicalAnalysisandApplications”,“AppliedMathematicsLetters”,“LinearAlgebraanditsApplications”,“AppliedMathematicsandComputation”,“ElectronicJournalofLinearAlgebra”,“LinearandMultilinearAlgebra”,“JournaloftheKoreanMathematicalSociety等国内外专业杂志上发表论文50多篇,其中30余篇被SCI收录。为本科生、研究生开设的课程有:《泛函分析》、《数学分析》、《实变函数》,《高等数学》等。

科研项目:
1.主持教育部博士点基金项目:基于算子论与算子代数的Drazin逆研究(20094407120001,2010.1-2011.12)
2.参加国家自然科学基金项目:算子论与算子代数的量子效应代数研究(10571113,2006.1-2008.12)
3.参加国家自然科学基金项目:广义逆的表示,扰动和光滑分析(11171222,2012.1-2015.12)
4.参加华南师范大学教改项目:公共必修课高等数学课程库建设与教学应用

成果与荣誉:
2008年获华南师范大学教学优秀奖.参与完成的《算子矩阵及其应用》项目于2009年获陕西省高等学校科学进步奖一等奖(第6完成人);

访问经历:
复旦大学数数学科学学院,上海,访问学者,2011-07-24--2011-08-24
TheCollegeOfWILLIAM&MARY,UAS,Visitingscholar,2012-08-26--2013.08.31


科研论文
56.ChunYuanDeng,HongKeDu,FurtherresultsongeneralizedBott-Duffininverses,OperatorsandMatrices,accept.

55.ChunYuanDeng,OnthesolutionsofoperatorequationCAX=C=XAC,J.Math.Anal.Appl.398(2013)664–670.

54.J.J.Koliha,DraganaS.Cvetkovic-Ilic,ChunyuanDeng,GeneralizedDrazininvertibilityofcombinationsofidempotents,LinearAlgebraanditsApplications437(2012)2317–2324.

53.ChunyuanDeng,YiminWei,QingxiangXu,ChuanningSong,OndisjointrangeoperatorsinaHilbertspace,LinearAlgebraanditsApplications437(2012)2366–2385.

52.ChunyuanDeng,ShunqinWang,Onsomecharacterizationsofthepartialorderingsforboundedoperators,MathematicalInequalities&Applications,Volume12,Number3(2012),619–630.

51.ChunyuanDeng,DraganaS.Cvetkovic-Ilic,YiminWei,Oninvertibilityofcombinationsofk-potentoperators,LinearAlgebraanditsApplications437(2012)376–387.

50.ZhongpengYang,XiaoxiaPeng,MeixiangChen,ChunyuanDeng,J.J.Koliha,Fredholmstabilityresultsforlinearcombinationsofm-potentoperators,OperatorsandMatrices,Volume6,Number1(2012),193–199.

49ChunyuanDengandYiminWei,FurtherresultsontheMoore-Penroseinvertibilityofprojectorsanditsapplications,LinearandMultilinearAlgebra,Vol.60,No.1,January2012,109–129.

48ChunyuanDeng,DraganaS.Cvetkovic-IlicandYiminWei,PropertiesoftheCombinationsofCommutativeIdempotents,LinearAlgebraanditsApplications,436(2012)202-221.

47ChunyuanDeng,AcommentonsomerecentresultsconcerningtheDrazininverseofananti-triangularblockmatrix,Filomat,26:2(2012),135-145.

46.MarinaTosic,DraganaS.Cvetkovic-Ilic,ChunyuanDeng,TheMoore-Penroseinverseofalinearcombinationofcommutinggeneralizedandhypergeneralizedprojectors,ElectronicJournalofLinearAlgebra,Volume22,pp.1129-1137,November2011.

45.YiMinWei,ChunYuanDeng,ANoteonAdditiveResultsfortheDrazinInverse,LinearandMultilinearAlgebra,59(12),(2011)1319-1329.

44.ChunYuanDeng,YiMinWei,SomeNewResultsoftheSherman-Morrison-WoodburyFormula,ProceedingofTheSixthIternationalConferenceofMatricesandOperators,Volume2(2011)220-223.

43.ChunyuanDengandYiminWei,RepresentationsfortheDrazininverseof2X2block-operatormatrixwithsingularSchurcomplement,LinearAlgebraanditsApplications,435(2011)2766-2783.

42.ChunYuanDeng,Ontheidempotentsolutionsofakindofoperatorequations,InternationalScholarlyResearchNetwork,ISRNAppliedMathematics,Volume2011,ArticleID846165,doi:10.5402/2011/846165.

41.ChunYuanDeng,Reverseorderlawforthegroupinverses,JournalofMathematicalAnalysisandApplications,382(2)(2011)663-671.

40.ChunyuanDeng,AgeneralizationoftheSherman-Morrison-Woodburyformula,AppliedMathematicsLetters24(9)(2011)1561-1564.

39.ChunYuanDeng,OntheDrazininversesinvolvingpowercommutativity,JournalofMathematicalAnalysisandApplications,378(2011)314–323.

38.ChunYuanDeng,CharacterizationsandRepresentationsoftheGroupInverseInvolvingIdempotents,LinearAlgebraanditsApplications,434(2011)1067-1079.

37.ChunYuanDeng,Anoteontherangeofprojectionoperators,TheSoutheastAsianBulletinofMathematics,34(2010)651-656.

36.ChunYuanDeng,YiMinWei,PerturbationofthegeneralizedDrazininverse,ElectronicJournalofLinearAlgebra.21(2010),85-97.

35.ChunYuanDeng,OnMoore-Penroseinverseofakindofoperators,ProceedingsoftheNinthInternationalConferenceonMatrixTheoryandItsApplications,1(2010),88-91.

34.ChunYuanDeng,SomerepresentationsfortheDrazininverse-therecentnewresults,ProceedingsoftheNinthInternationalConferenceonMatrixTheoryandItsApplicationsinChina,1(2010),84-87.

33.ChunYuanDeng,YiMinWei,PerturbationanalysisoftheMoore-PenroseinverseforaclassofboundedoperatorsinHilbertspaces,JournaloftheKoreanMathematicalSociety,47(2010),831-843.

32.ChunYuanDeng,YiMinWei,NewAdditiveResultsfortheGeneralizedDrazinInverse,JournalofMathematicalAnalysisandApplications,370(2010)313–321.

31.ChunYuanDeng,DraganaS.Cvetkovic-IlicandYiMinWei,SomeResultsontheGeneralizedDrazinInverseofOperatorMatrices,LinearandMultilinearAlgebra,,58(4),503–521,2010.

30.ChunYuanDeng,GeneralizedDrazininversesofanti-triangularblockmatrices,JournalofMathematicalAnalysisandApplications.368(2010)1-8.

29.DraganaCvetkovic-Ilic,ChunyuanDeng,TheDrazininvertibilityofthedifferenceandthesumoftwoidempotentoperators,JournalofComputationalandAppliedMathematics.233(2010)1717-1722.

28.ChunYuanDeng,Onpropertiesofgeneralizedquadraticoperators,LinearAlgebraanditsApplications,432(4-7)(2010)847–856.

27.ChunYuanDengandHongKeDu,RepresentationsoftheMoore-Penroseinverseforaclassof2-by-2blockoperatorvaluedpartialmatrices,LinearandMultilinearAlgebra,Vol.58,No.1,January2010,15-26.

26.邓春源,广义幂等算子差的可逆性,数学物理学报中文版,29(6),1477-1486,2009.

25.ChunYuanDeng,OntheidempotentsolutionsofequationsABA=A^2andBAB=B^2,Proceedingsofthethirdinternationalworksshoponappliedmatrixtheory,28-31,2009.

24.ChunYuanDeng,OntheinvertibilityoftheoperatorA-XB,NumericalLinearAlgebrawithApplications,16(817-831),2009.

23.ChunYuanDeng,HongKeDu,RepresentationsoftheMoore-Penroseinverseof2by2blockoperatorvaluedmatrices,JournaloftheKoreanMathematicalSociety,46(2009),1139–1150.

22.ChunYuanDeng,YiMinWei,AnoteontheDrazininverseofananti-triangularmatrix,LinearAlgebraanditsApplications,431(2009),1910-1922.

21.ChunYuanDeng,YiMinWei,CharacterizationsandRepresentationsoftheDrazinInverseofIdempotents,LinearAlgebraanditsApplications,431(2009),1526-1538.

20.DraganaCvetkovic-Ilic,ChunyuanDeng,SomeresultsontheDrazininvertibilityandidempotents,JournalofMathematicalAnalysisandApplications,359(2009)731-738.

19.ChunYuanDeng,TheDrazininversesofsumanddifferenceofidempotents,LinearAlgebraandItsApplications,LinearAlgebraanditsApplications,430(2009)1282-1291.

18.ChunYuanDeng,AnoteontheDrazininverseswithBanachiewicz-Schurforms,AppliedMathematicsandComputation,213(2009),230-234.

17.ChunYuanDeng,Thegeneralizedinverseofuppertriangularoperatormatrixanditsapplicationsinperturbationanalysis,AdvancesinMatrixtheoryanditsapplications(ProceedingsoftheEighthInternationalConferenceonMatrixTheoryandItsApplicationsinChina),volumeII,2008.35-38.

16.杜鸿科,王月清,李启慧,邓春源,广义导算子的范数可达性,数学学报中文版,51(2008),29-38.

15.ChunYuanDeng,Anewcharacterizationoftheclosednessofthesumoftwosubspaces,ActaMathematicaScientia,28B(2008),17-23.

14.ChunYuanDeng,TheDrazininverseofboundedoperatorswithcommutativityuptoafactor,AppliedMathematicsandComputation206(2008),695–703.

13.HongKeDu,ChunYuanDeng,MbekhtaMostafa,MüllerVladimír,Onspectralpropertiesoflinearcombinationsofidempotents.StudiaMath.180(3)(2007),211—217.

12.邓春源,杜鸿科,Hilbert空间上线性算子的Drazin可逆性,数学学报中文版,50(2007),1263-1270.

11.ChunYuanDeng,HongKeDu,ThespectrumofpositiveoperatorsonHilbertLattices,ChineseQuarterlyJournalofMathematics,22(1)(2007),52-56.

10.ChunYuanDeng,Ontheminimumgapandtheanglebetweentwosubspaces,JournalofComputationalandAppliedMathematics,206(2007),625-630.

9.ChunYuanDeng,TheDrazininversesofproductsanddifferencesoforthogonalprojections,JournalofMathematicalAnalysisandApplications,335(2007),64-71.

8.HongKeDu,ChunYuanDeng,Moore-Penroseinversesofproductsanddifferencesoforthogonalprojections,ActaAnalysisFunctionalisApplicata,8(2006),104-109.

7.HongKeDu,ChunYuanDeng,QiHuiLi,OntheInfinimumProblemofHilbertSpaceEffects,ScienceinChina:SericesAMathematics,49(2006),545-556.

6.ChunYuanDeng,QiHuiLi,HongKeDu,Generalizedn-idempotentsandhyper-generalizedn-idempotents,Northeast.Math.J.,22(2006),387-394.

5.ChunYuanDeng,HongKeDu,ThereducedminimummodulusofDrazininversesoflinearoperatorsonHilbertspaces,ProceedingsoftheAmericanMathematicalSociety,134(2006),3309-3317.

4.邓春源,杜鸿科,两子空间的公共补与Gro\ss问题,数学学报中文版,49(5)(2006),1099-1112.

3.HongKeDu,ChunYuanDeng,TherepresentationandcharacterizationofDrazininversesofoperatorsonaHilbertspace,LinearAlgbraanditsApplications.407(2005),117-124.

2.HongKeDu,ChunYuanDeng,Anewcharacterizationofgapsbetweentwosubspaces,ProceedingsoftheAmericanMathematicalSociety,133(2005),3065-3070.

1.HongKeDu,XiYanYao,ChunYuanDeng,Invertibilityoflinearcombinationsoftwoidempotents,ProceedingsoftheAmericanMathematicalSociety,134(2005),1451-1457.



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