共查询到20条相似文献,搜索用时 929 毫秒
1.
Li Zhuxiang 《东北数学》1997,(1)
SomeSpectralPropertiesofMetapositiveDefiniteMatricesLiZhuxiang(李竹香)LuHongbin(吕洪斌)(DepartmentofMathematics,JilinTeacher'sColeg... 相似文献
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On the Supports of Super-Brownian Motion on Hyperbolic Space 总被引:1,自引:0,他引:1
(唐加山)OntheSupportsofSuper-BrownianMotiononHyperbolicSpace¥TangJiashan(Inst.ofMath.,ShantouUniv.,Shantou,Guangdong,515065;Dept... 相似文献
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FuzzyIntegralsofSet-valuedFunctionsZhangDeliandWangZixiao(Dept.ofMath.JilinProv,Inst.ofEducationChangchun,Jilin,130022,P.R.Ch... 相似文献
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OnaClassofAdditiveFunctionsZhaiwenguang(翟文广)(Dept.ofMath.,ShandongUniv.,Jinan,Shondong,2501O0)CommunicatedbyPanChengbiaoRecei... 相似文献
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A Class of Multisided Surface PatchesLiuShuxin(刘树信);XingLiping(邢丽萍)(DepartmentofMathematics,JilinUniversity,Changchan,130023)... 相似文献
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SomeMainPropertiesofHomeomorphismFangAinong(方爱农)(Dept.ofMath.,ShanghaiJiaotongUniv,Shanghai,200030)CommunicatedbyChengMindRec... 相似文献
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SelfMapsandMargolisKillingConstructioninthe Category of SpectraLinJinkun(林金坤)DepartmentofMathematics,NankaiUniversity,Tianjin... 相似文献
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Han Jianlong 《东北数学》1995,(1)
NontrivialSolutionsofSemilinearEllipticEquationsInvolvingCriticalSobolevExponentsHanJianlong(韩建龙)(DepartmentofMathematics,Tia... 相似文献
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Wang Junyu 《东北数学》1994,(1)
PositiveSolutionsofaClassofSingularand NonsingularBoundaryValueProblemsWangJunyu(王俊禹)(DepartmentofMathematics,JilinUniversity... 相似文献
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Let H be an infinite dimensional complex Hilbert space. Denote by B(H)the algebra of all bounded linear operators on H, and by I(H) the set of all idempotents in B(H). Suppose that φ is a surjective map from B(H) onto itself. If for everyλ∈ {-1, 1, 2, 3, 1/2, 1/3} and A, B ∈ B(H), A - λB ∈ I(H) (→)φ(A) - λφ(B) ∈ I(H), then φis a Jordan ring automorphism, i.e. there exists a continuous invertible linear or conjugate linear operator T on H such that φ(A) = TAT-1 for all A ∈ B(H), or φ(A) = TA*T-1 for all A ∈ B(H); if, in addition, A - iB ∈ I(H) (→)φ(A) - iφ(B) ∈ I(H), here i is the imaginary unit, then φ is either an automorphism or an anti-automorphism. 相似文献
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Let H1, H2 and H3 be infinite dimensional separable complex Hilbert spaces. We denote by M(D,E,F) a 3×3 upper triangular operator matrix acting on H1⊕H2⊕H3 of the form M(D,E,F)=(A D E 0 B F 0 0 C). For given A ∈ B(H1), B ∈ B(H2) and C ∈ B(H3), the sets UD,E,F σp(M(D,E,F)), ∪D,E,F σr(M(D,E,F)), ∪D,E,F σc(M(D,E,F)) and ∪D,E,F σ(M(D,E,F)) are characterized, where D ∈ B(H2,H1), E ∈ B(H3, H1), F ∈ B(H3, H2) and σ(·), σp(·), σr(·),σc(·) denote the spectrum, the point spectrum, the residual spectrum and the continuous spectrum, respectively. 相似文献
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3×3上三角算子矩阵的Weyl型定理 总被引:1,自引:0,他引:1
设A∈B(H1),B∈B(H2),C∈B(H3)为给定的三个算子,用M(D,E,F)= 表示一个作用在H1(?)H2(?)H3上的3×3算子矩阵.本文首先给出存在算子D∈B(H2,H1),E∈B(H3,H1),F∈B(H3,H2),使得M(D,E,F)为上半Fredholm算子(下半Fredholm算子)的充要条件.同时研究了3×3算子矩阵 M(D,E,F)的Weyl定理,α-Weyl定理,Browder定理和α-Browder定理. 相似文献
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设B(H)是复Hilbert空间H上的有界线性算子全体且dim H≥2.本文证明了B(H)上的线性满射φ保持两个算子乘积非零投影性的充分必要条件是存在B(H)中的酉算子U以及复常数λ满足λ~2=1,使得φ(X)=λU~*XU,(?)X∈B(H).同时也得到了线性映射保持两个算子Jordan三乘积非零投影的充分必要条件. 相似文献
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In this paper, we introduce Property ∏σ of operator algebras and prove that nest subalgebras and the finite-width CSL subalgebras of arbitrary von Neumann algebras have Property ∏σ.Finally, we show that the tensor product formula alg ML1-(×)algNL2 = algM-(×)N(L1 (×) L2) holds for any two finite-width CSLs L1 and L2 in arbitrary von Neumann algebras M and N, respectively. 相似文献
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基于值域的稠密性和闭性,有界线性算子的点谱可进一步细分为互不相交的四个组成部分,即四类点谱.设H_1,H_2,H_3为无穷维复可分Hilbert空间,记M_(D,E,F)=(A D E0 B F0 0 C)∈B(H_1H_2H_3).当对角算子A,B,C固定时,给出了M_(D,E,F)的四类点谱随D,E,F扰动的完全描述. 相似文献
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Let =(A C X B)be a 2×2 operator matrix acting on the Hilbert space н( )κ.For given A ∈B (H),B ∈B(K)and C ∈B(K,H)the set Ux∈B(H,к)σe(Mx)is determined,where σe(T)denotes the essential spectrum. 相似文献
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本文给出了Doi Y.构造的偶交叉积B H的代数结构与Reshetikhim~N.构造的双代数BRH的余代数结构在张量空间B H上构成双代数(记为BRH)的充要条件,利用此结论具体构造了一个有趣的例子H4 KZ2,证明了当B,H均为Hopf.代数时BRH也为Hopf代数,最后给出这类双代数的映射刻划. 相似文献
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Let H1 and H2 be separable Hilbert spaces, and B(H1,H2) all of boundedlinear operators from H1 into H2. In this note, we prove the following theorem: for any positive integer N and T ε B(H1, H2) with a closed range, there exists an outerinverse TN^# with finite rank N such that T y = lim TN^#y for any y ε H2, where T N→∞ denotes the Moore-Penrose inverse of T. Thus computing T is reduced to computingouter inverses TN^# with finite rank N. Moreover, because of the stability of boundedouter inverse of a T ε B(H1,H2), this is very useful. 相似文献