简介：Inthispaper,theauthorsconstructaφ-groupfornsubmodules,whichgeneralizestheclassicalK-theoryandgivesmoreinformationthantheclassicalones.Thistheoryisrelatedtotheclassificationtheoryforindecomposablesystemsofnsubspaces.

简介：LetAbeaunitalC*-algebra,n∈N∪{∞}.Itisprovedthattheisomorphism△n:Un0(A)/DUn0(A)→AffT(A)/△n0(π1(Un0(A)))isisometricforsomesuitabledistances.Asanapplication,theauthorhasthesplitexactsequence0→AffT(A)/△n0(π1(Un0(A)))iA→Un(A)/DUn(A)πA→Un(A)/Un0(A)→0withiAcontractive(andisometricifn=∞)undercertainconditionofA.

简介：WestudythestructureofBernstein’sfirstsummableoperatorsandshowthattheycon-vergeuniformlytocontinuonsfunctionsonthespecialrealorthogonalgroupSO(n)inthispaper.Inaddition,wehavealsodiscussedtheapproximationdegreetoaclassoffunctionLipα(0<α≤1)onSO(n).

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简介：Thisarticleprovestheexistenceofsingulardirectionsofvaluedistributiontheoryforsometranscendentalholomorphiccurvesinthen-dimensionalcomplexprojectivespacePn(C).Anexampleisgiventocomplementtheseresults.

简介：ThepaperdefinesanextendedCesàrooperatorTgwithholomorphicsymbolgintheunitballBofCnasWhereg(z)=∑j=1∑nzjg/zjistheradialderivativeofg.Inthispaper,theauthorcharacterizesgforwhichTgisbounded(orcompact)ontheBlochspaceBandthelittleBlochspaceB0.

简介：Assumethateachcompletelyirrationalnoncommutativetorusisrealizedasaninductivelimitofcirclealgebras,andthatforacompletelyirrationalnoncommutativetorusAwofrankmthereareacompletelyirrationalnoncommutativetorusAρofrankmandapositiveintegerdsuchthattr(Aw)=1/d.tr(Aρ).ItisprovedthatthesetofallC^*-algebrasofsectionsoflocallytrivialC^*-algebrabundlesoverS^2withfibresAωhasagroupsturcture,denotedbyπ1^s(Aut(Aω)),whichisisomorphictoZifEd>1and{0}ifd>1.LetBcdbeacd-homogeneousC^*-algebraoverS^2×T^2ofwhichnonon-trivialmatrixalgebracanbefactoredout.ThesphericalnoncommutativetorusSρ^cdisdefinedbytwistingC^*(T2×Z^m-2)inBcd×C^*(Z^m-3)byatotallyskewmultiplierρonT^2×Z^m-2。ItisshownthatSρ^cd×Mρ∞isisomorphictoC(S^2)×C^*(T^2×Z^m-2,ρ）×Mcd(C)×Mρ∞ifandonlyifthesetofprimefactorsofcdisasubsetofthesetofprimefactorsofp.

简介：ThispapercontinuestheworkofD.MacHale,D.Flannery（Proc.R.Ir.Acad.81A,209—215;83A,189—196）andtheauthor（Proc.R.Ir.Acad,90A,57—62;J.SouthwestChinaNormalUniversity15,No.1,21.—28）onthetopicon“FinitegroupswithgivenAutomorphismgroup”.Thefollowingresultisproved:LetGbeafinitegroupwithAutGaSchmidtgroup.ThenGisisomorphictoS3orKlain4-group.,orDsuchthatAutD=InnD.DisaSchmidtgroupoforder2?p.S2（∈Syl2D）isanormalandspecialgroupexoeptasupersperspecialgroupwithoutcommutativegenerators.

简介：我们使用二个多项式到结果讨论一致的根，然后我们在情况r=在特性和的吝啬的价值上改进伯吉斯的结果3。最后，我们在情况r=为特性和的吝啬的价值给新估计4。关键词结果-多项式-特性先生(2000)题目分类11L40

简介：Thepresentpapershowsthatforanysequenceofrealnumberswithinfinitedistinctelements{λ_n},therationalcombinationof{x~λ}arealwaysdenseinC_[0,1].

简介：SupposethatDisaboundeddomainwithapiecewiseC^1smoothboundaryinC^n.Letψ∈C^1+α(δD).ByusingtheHadamardprincipalvalueofthehigherordersingularintegralandsolidanglecoefficientmethodofpointsontheboundary,wegivethePlemeljformulaofthehigherordersingularintegralwiththeBoehner-Martinellikernel,whichhasintegraldensityψ.Moreover,bymeansofthePlemeljformulaandmethodsofcomplexpartialdifferentialequations,wediscussthecorrespondingCauehyboundaryvalueproblemwiththeBoehner-Martinellikernelonaclosedpiecewisesmoothmanifoldandobtainitsuniquebranchcomplexharmonicsolution.

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简介：图G的代数学的连接是它的拉普拉斯算符矩阵的第二个最小的特征值。让n是顺序n的所有树的集合。在这份报纸，我们将提供根据他们的最小的代数学的连接在n订树直到最后八棵树什么时候n13。这扩大邵等的结果。

简介：Inthisarticle,westudytheproblemsofBorel'sdirectionsofmeromorphicfunc-tionsconcerningsharedvaluesandprovethatiftwomeromorphicfunctionsofinfiniteordersharethreedistinctvalues,theirBorel'sdirectionsaresame.

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简介：基于双连续半群概念,引入一致双连续半群序列概念,借助Laplace变换和Trotter-Kato定理,考察双连续n次积分C余弦函数与C-预解式之间的关系,得到逼近定理的稳定性条件,进而得出双连续n次积分C余弦函数逼近定理.从而对Banach空间强连续半群逼近定理和双连续半群逼近定理进行了推广,为相应抽象的Cauchy问题提供了解决方案.

简介：在这个工作我们在场关于借助于在与形状保存有关的假设下面的一个线性操作符的一个函数的k-th衍生物的近似的结果性质。作为后果，我们关于Meyer-K推出新结果?nig和Zeller操作员。

简介：ThispaperstudiestheasymptoticpropertiesoftherandomiterationsofboththeformGn=f1of2o……ofnandtheformFn=fnofn-1o…of1,where{fn}（包含于）H(Ω，Ω)andΩ（包含于）C^Nisahoundeddomain.Itisfoundthat,undersomeconditions.GnorFntendstoapointinΩasn→∞.Someexamplesarealsogiventoshowthattheconditionsthatwehavegivencannotbedroppedingeneral,Moreover,acompletedescriptionisgivenforFnorGntotendtoapointinΩundertheconditionfn→f.

简介：代数学的独立被证明，在此胃1，。..，胃s与代数学的元素是代数学的数字，或某些先验的继续的部分的某些差距系列或力量系列。关键词代数学的独立-指数的功能-差距系列-力量系列-继续的部分-代数学的数字先生(2000)题目分类11J85-11J91由中国(号码10571180)的NNSF支持了

简介：让F是在领域D的holomorphic功能的一个家庭，k是一个积极整数，一，b(≠0)，c(≠0)并且d是有限复杂数字。如果为每f∈F，所有零f-d有复合至少k，f~((k))=wheneverf=0，并且f=c每当时f~((k))=b，那么在D的Fis正常。这结果扩大米兰达的著名规度标准并且由于陈毒牙，剧痛和徐改进一些结果。一些例子被提供证明我们的结果是锋利的。