共查询到20条相似文献,搜索用时 15 毫秒
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不可分素C^k—代数与本原C^*—代数的讨论 总被引:2,自引:0,他引:2
本文证明:若A是不可分的素C^*-代数,且包含非0的Liminal遗传C^*-子代数,则A是本原C^*-代数,本文还给出了I型C^*-代数为本原C^*-代数的充要条件。 相似文献
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探讨了Pro-C^*-代数中的次正规元,给出了具有余等距对Pro-C^*-代数中次正规元的一个代数特征。 相似文献
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本文把代数结构与分析体系结合起来,运用同调的方法,较系统地确定了A上C^*-模的部分理论,这里A为复数域C上的交换C^*-代数。即不仅定义了与C^*-模有关的某些新概念,而且还得到了有关C^*-模的若干结果。 相似文献
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本文讨论了具有性质(K)的 C~*—代数类的一些性质,它们与 C~*—代数扩张理论密切相关。我们证明了,性质(K)是稳定同构不变的;当 A、B 是具有单位元的 C~*—代数且A(?)B 具有性质(K)时,A 和 B 都具有性质(K);性质(K)关于理想、商是保持的。另外还证明了其它一些结果。 相似文献
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文[1]给出了正定矩阵的几个重要不等式,作为矩阵代数理论的推广,本文讨论C^*代数中正元的几个相应不等式。 相似文献
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CompletelyPositiveDefiniteMapsOverTopological-algebrasXuTianzhou(DepartmentofAppliedMathematics,BeijingInstituteofTechnofogy,... 相似文献
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Choonkil PARK Jian Lian CUI 《数学学报(英文版)》2007,23(11):1919-1936
Let X and Y be vector spaces. The authors show that a mapping f : X →Y satisfies the functional equation 2d f(∑^2d j=1(-1)^j+1xj/2d)=∑^2dj=1(-1)^j+1f(xj) with f(0) = 0 if and only if the mapping f : X→ Y is Cauchy additive, and prove the stability of the functional equation (≠) in Banach modules over a unital C^*-algebra, and in Poisson Banach modules over a unital Poisson C*-algebra. Let A and B be unital C^*-algebras, Poisson C^*-algebras or Poisson JC^*- algebras. As an application, the authors show that every almost homomorphism h : A →B of A into is a homomorphism when h((2d-1)^nuy) =- h((2d-1)^nu)h(y) or h((2d-1)^nuoy) = h((2d-1)^nu)oh(y) for all unitaries u ∈A, all y ∈ A, n = 0, 1, 2,....
Moreover, the authors prove the stability of homomorphisms in C^*-algebras, Poisson C^*-algebras or Poisson JC^*-algebras. 相似文献
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1.IntroductionandPreliminariesInthispaper,AdenotesaC'-algebra.AnelementaryoperatoronAisamappingoftheformE:x-Zaixbi,whereaiandbiarefixedelementsofA.AnidempotenteinAiscalledi-lminimal,ifeAe=Ce.ThesocleofA,soc(A)isdefinedtobethetwo-sidedidealgeneratedbyallminimalidempotentsinAoroiftherearenone.AissaidtObeprimeifxAy=Oimpliesx=oory=oforallx,yinA.Aiscalledprimitiveifithasafaithfulirreduciblerepresenta-tion.LetAandBbeC'-algebras,alinearmap@:A-Biscalledpositiveifdi(a)ispositiveforallPositiv… 相似文献
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Ming LIU Li Ning JIANG Guo Sheng ZHANG 《数学学报(英文版)》2007,23(6):1121-1128
This paper defines a pairing of two finite Hopf C^*-algebras A and B, and investigates the interactions between them. If the pairing is non-degenerate, then the quantum double construction is given. This construction yields a new finite Hopf C^*-algebra D(A, B). The canonical embedding maps of A and B into the double are both isometric. 相似文献
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Tracial Limit of C^*-algebras 总被引:4,自引:0,他引:4
ShanWenHU HuaXinLIN YiFengXUE 《数学学报(英文版)》2003,19(3):535-556
A new limit of C^*-algebras, the tracial limit, is introduced in this paper. We show that a separable simple C^*-algebra A is a tracial limit of C^*-algebras in Z-(k) if and only if A has tracial topological rank no more than k. We present several known results using the notion of tracial limits. 相似文献
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The authors prove the Hyers-Ulam-Rassias stability of the quadratic mapping in Banach modules over a unital C*-algebra, and prove the Hyers-Ulam-Rassias stability of the quadratic mapping in Banach modules over a unital Banach algebra. 相似文献
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FANG Xiaochun 《数学年刊B辑(英文版)》2003,24(1):115-122
Let A be a unital C-algebra, n ∈ N ∪ {∞}. It is proved that the isomorphism △n : is isometric for some suitable distances. Asan application, the author has the split exact sequence with iA contractive (and isometric if n = ∞) under certain condition of A. 相似文献