简介：<正>Acompletecharacterizationofnormaloperatorswhicharesimilartoirreducibleoperatorsandsomerelatedresultsaregiven.

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简介：我们证明一个u0鈥揷oncave操作员能包括另外的凹面操作员，并且在一个更弱的条件下面为一种u0鈥揷oncave操作员的固定的点的存在和唯一导出一个足够、必要的条件。关键词锥-增加的操作员-Banach空间-NSFC(10371068)支持的凹面操作员先生(2000)题目分类47H10，NSFC(60174007)和山西省(20041003)的科学基础

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简介：AbstractInthisnote,wepresentamethodofconstructingthehomogenizedoperatorforageneralsequenceofdifferentialoperators.Asanexample,weconstructthehomogenizedoperatorforasequenceoflinearparabolicoperators.

简介：Inthepresentmanuscript,weproposethemodificationofJainoperatorswhichthegeneralizationofSzász-Mirakyanoperators.Thesenewclassoperatorsarelinearpositiveoperatorsofdiscretetypedependingonarealparameters.WegivetheoremofdegreeofapproximationandtheVoronovskayaasymptoticformula.

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简介：Thispapercoutinuesthestudiesoftheessentialspectrumofnonsemi-boundedpseudodifferentialoperators.Theauthorimprovestheresultsin[5]insomesense.FortherelativisticSchrodingeroperator,√(-Δ+m^2)+v(x),completeresultsareobtained.

简介：LetB(H)bethealgebraofalltheboundedlinearoperatorsonaHilbertspaceH.ForA,PandQinB(H),ifthereexistsanoperatorX∈B(H)suchthatAPXQA=A,XQAPX=X,(QAPX)*=QAPXand(XQAP)*=XQAP,thenXissaidtobetheΓ-inverseofAassociatedwithPandQ,anddenotedbyAP,Q+.Inthisnote,wepresentsomenecessaryandsu?cientconditionsforwhichA+P,Qexists,andgiveanexplicitrepresentationofAP,Q+(ifAP,Q+exists).

简介：Inthispaper,westudytheLpboundednessforthesingularintegraloperatorsofR.Fef-fermanwhenthekernelsatisfiescertainsizecondition.Wealsoconsiderthecorrespondingmaximalsingularintegraloperators.

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简介：Thisisashortsurveyonosicllatoryintegraloperators.Wesummarizethemaindevelopmentandman-agingtechniquesofthefield,andgivesomeopenproblemsandmainreferencesintheend.

简介：Inthispaper,weproposetheconceptofcohomologicaloperator.Concretely,wesuggestthecohomologicaldifferentialoperator,correlativecohomologicaldifferentialoperatorandextensivecohomologicaldifferentialoperatorandbringcovariantderivativeintotheextensivecohomologicaldifferentialoperator,WeconstructonetypeofnonlineardifferentialequationsbyextensivecohomologicaldifferentialoperatorandcomparetheobtainedresaleswiththeYang-Millsequation.

简介：LetGbeaboundedopensetonthecomplexplane,wedenotebyLa2（G）thetotalityofallanalyticfunctionsonGwhichissquareintergrablewithrespecttoLebesguemeasuredAonG.It’sclearthatLa2（G）isaHilbertspacewhenendowedwithnorm‖f‖=（∫G|f|2dA）1/2.TheboundedoperatorSonLa2（G）whichismultiplicationbyzwillbecalldeBergmanoperatoronG.ForBergmanoperatorswehavethefollowingproperties（[1],[4]）:

简介：Inthepresentpaper,theself-adjointnessoftheproductoftwomth-orderdifferentialoperatorson[0,∞)isstudied.Bymeansoftheconstructiontheoryofself-adjointoperatorsandmatrixcomputation,weobtainasufficientandnecessaryconditiontoensurethattheproductoperatorisself-adjoint,whichextendstheresultsinthesecondordercase.

简介：WeobtainseveralestimatesoftheessentialnormsoftheproductsofdifferentiationoperatorsandweightedcompositionoperatorsbetweenweightedBanachspacesofanalyticfunctionswithgeneralweights.Asapplications,wealsogiveestimatesoftheessentialnormsofweightedcompositionoperatorsbetweenweightedBanachspaceofanalyticfunctionsandBloch-typespaces.

简介：Thestudyofoperatorssatisfyingσja(T)=σa(T)isofsignificantinterest.Doesσja(T)=σa(T)forn-perinormaloperatorT∈B(H)ffThisquestionwasraisedbyMecheriandBraha[Oper.Matrices6(2012),725–734].Inthenoteweconstructacounterexampletothisquestionandobtainthefollowingresult:ifTisan-perinormaloperatorinB(H),thenσja(T)\{0}=σa(T)\{0}.Wealsoconsidertensorproductofn-perinormaloperators.

简介：p-ω-低亚硫酸钠正常操作员的近似的点光谱性质被给并且证明。事实上，它是ω-低亚硫酸钠正常操作员的近似的点光谱性质的归纳。系列的关系和p-ω-低亚硫酸钠正常操作员的数字范围被获得。为p-ω-低亚硫酸钠正常操作员T，在另一方面，如果T是正常的，那么，T也是正常的，这被显示出。

简介：ThereseearchontherelationbetweenweightedshiftoperatorsonHilbertspacesandotherimportantclassofoperatorsattractedtheattentionofsomemathematicians.Forexample,therelationbetweenweightedshiftoperatorsandsubnormaloperatorshasbeenthoroughlystudiedbyJ.Stampfli,R.GellarandD.A.Herrero,etc.(seereference[1])Butthedecomposabilityofweightedshiftoperatorshasnotyetattractedenoughattentionuptonow.Wemadeinitialresearch

简介：Inthispaper,weintroducenewsufficientconditionsforcertainintegraloperatorstobestarlikeandp-valentlystarlikeintheopenunitdisk.