共查询到18条相似文献,搜索用时 62 毫秒
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von Neumann代数中套子代数上的Lie导子 总被引:2,自引:1,他引:1
本文对因子von Neumann代数中套子代数上的线性映射L:alg_Mβ→M满足L(AB—BA)=L(A)B-BL(A)+AL(B)-L(B)A( A,B∈alg_Mβ)进行了刻划,证明了存在线性函数h:alg_Mβ→C;且对任意A,B∈alg_Mβ,有h(AB—BA)=0和算子T∈M,使得对任意X∈alg_Mβ,都有L(X)=XT-TX+h(X)I. 相似文献
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本文研究因子VonNeumann代数中套子代数上的导子.证明了因子VonNeumann代数中套子代数上的任何导子都是内导子. 相似文献
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本文主要研究因子VonNeumann代数中套子代数上的导子。证明了由因子VonNeumaan代数中套子代数到紧算子的任何导子都是内导子。 相似文献
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In this paper, a derivation δAB mapping into a ideal I of B(H) is considered, when A,B ∈B(H) and I is a norm ideal. If Ran(δAB)?I, let δAB:B(H)→I denote the induced operator and let λ be the scalar such that A- λ∈I, B-λ∈I, we estimate the norm of δAB as follows‖A-λ‖+‖B-λ‖≥‖δAB‖≥‖A- λ‖+‖B-λ‖ when WN(A-λ)∩WN(λ - B)≠?, where WN(A- λ) denotes the normalized maximal numerical range and ‖A-λ‖ denotes the norm of A-λ∈I. In particular when I=Cp(l
p, we prove that ‖δAB‖p=‖A-λ‖p+‖B-λ‖p if and only if ‖A-λ‖=‖A-λ‖p and WN(A-λ)∩WN(λ-B)≠?. At last, some examples show that the estimate as above is exact. 相似文献
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本文给出了半素环的自同构和( 1,σ)导子的扩张命题,这推广了[1]中的一些结论,然后借助半素环的广义中心里的幂等元在(1,σ)导子扩张模上建立起拓扑空间,从拓扑学角度给出(1,σ)导子扩张模的结构定理. 相似文献
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证明了TUHF代数丁上的Lie导子L形如D l.其中D是T上的结合导子,l是从T到它的中心Z上的线性映射且零化T中的括积. 相似文献
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利用导子和triple导子的定义,刻画了特征不等于2的代数闭域上4维幂零李代数的导子和triple导子. 相似文献
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本文证明了JBW-代数上的局部导子是导子,举反例说明了JBW-代数上的局部内导子未必是内导子,并且给出了JBW-代数的一个充要条件使得它上的局部内导子是内导子, 相似文献
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NormAttainabilityofElementaryOperatorsandDerivationsJiGuoting(吉国兴)andDeffengke(杜鸿科)(DepartmentofMathematics,ShaanxiNormalUniv... 相似文献
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In this paper, we will prove that every derivation of completely distributive subspace lattice (CDS) algebras on Banach space
is automatically continuous. This is new even in the Hilbert space case. As an application of this result, we obtain that
every additive derivation of nest algebras on Banach spaces is inne. We will also prove that every isomorphism between nest
algebras on Banach space is automatically continuous, and in addition, is spatial.
Research supported by NSF of China and YSF of Shandong 相似文献
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本文证明了:Banach空间上完全分配格代数间的导子都是自动连续的;进而证明了套代数的可加导子是内的,套代数间的代数同构是自动连续的、空间的 相似文献
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§1.IntroductionRecently,Liandotherauthorsdidextensiveanddeepresearchonthetheoryandap-plicationofgeneralizeddiferencemethods(s... 相似文献
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Mohamed Barraa Mohamed Boumazgour 《Journal of Mathematical Analysis and Applications》2003,286(1):359-362
Let be the algebra of bounded linear operators on a Hilbert space H. For , define the elementary operator MA,B by MA,B(X)=AXB (). We give necessary and sufficient conditions for any pair of operators A and B to satisfy the equation ‖I+MA,B‖=1+‖A‖‖B‖, where I is the identity operator on H. 相似文献
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Beth Novick 《Discrete Applied Mathematics》2009,157(8):1831-1839
In this paper we introduce a new class of clustering problems. These are similar to certain classical problems but involve a novel combination of ?p-statistics and ?q norms. We discuss a real world application in which the case p=2 and q=1 arises in a natural way. We show that, even for one dimension, such problems are NP-hard, which is surprising because the same 1-dimensional problems for the ‘pure’ ?2-statistic and ?2 norm are known to satisfy a ‘string property’ and can be solved in polynomial time. We generalize the string property for the case p=q. The string property need not hold when q≤p−1 and we show that instances may be constructed, for which the best solution satisfying the string property does arbitrarily poorly. We state some open problems and conjectures. 相似文献