共查询到20条相似文献,搜索用时 15 毫秒
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主要讨论作用在复Hilbert空间弱闭 AlgN-模上的线性保秩映射,并给出在各种情况下保秩一性线性映射的刻画.作为应用,最后讨论了弱闭 AlgN-模上的模同构,并得出这样的同构是平凡的. 相似文献
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给出了模型论在代数上的两个应用,得到了下列定理:定理A:如环R的任何有限生成子环均是局部环,则R是局部环.定理B:存在自然数的真扩张R使其具有下列特征:(1)虽然R有无限多零因子,但R中有无限多零因子,但R中的首1多项式的根的个数可以得到很好的控制.(2)R不仅将自然数的素数特征保留下来,而且还可在其上定义指数函数。 相似文献
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Let X1 and X2 be subspaces of quotients of R
OH and C
OH respectively. We use new free probability techniques to construct a completely isomorphic embedding of the Haagerup tensor
product into the predual of a sufficiently large QWEP von Neumann algebra. As an immediate application, given any 1 < q ≤ 2, our
result produces a completely isomorphic embedding of (equipped with its natural operator space structure) into with a QWEP von Neumann algebra.
Received: June 2006, Revision: June 2007, Accepted: September 2007 相似文献
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A Banach Space Whose Operator Algebra has K0-Group Q 总被引:4,自引:0,他引:4
We construct a Banach space X whose algebra of bounded linearoperators has K0-group the additive group of rational numbers.We achieve this using a Gowers-Maurey space. 2000 Mathematical Subject Classification: 20F36, 55P35, 55Q05,55Q40, 55U10 相似文献
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Let B(H) be the algebra of bounded linear operators acting on a separable Hilbert space H. An operator T in B(H) is said to be strongly irreducible (see [1]), denoted by T (SI), if it is not similar to any reducible operator (see [2]). If the dimension of ?i is finite, B(H) may be regarded as an n × n matrix algebra. In this case, T (SI) if and only if T is similar to a Jordanian block. Jordanian canonical form theorem is one of the most important theorems in matrix theory. The Jordan… 相似文献
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Real linear operators arise in a range of applications of mathematical physics. In this paper, basic properties of real linear operators are studied and their spectral theory is developed. Suitable extensions of classical operator theoretic concepts are introduced. Providing a concrete class, real linear multiplication operators are investigated and, motivated by the Beltrami equation, related problems of unitary approximation are addressed. 相似文献
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本文将经典Hardy空间上复合算子的理论、方法应用到解析算子函数空间上,给出了解析算子函数空间的几个基本性质及复合算子的有界性条件. 相似文献
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Let U be a weakly closed nest algebra module acting on a Hilbert space H. Given two operators X and Y in B(H), a necessary and sufficient condition for the existence of an operator T in U satisfying TX = Y is provided. 相似文献
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Zen Harper 《Integral Equations and Operator Theory》2006,54(1):69-88
In this paper, we study a discrete version of the Weiss Conjecture. In Section 1 we discuss the Reproducing Kernel Thesis
and in Section 2 we introduce the operators which concern us. Section 3 shows how to relate these operators to Carleson embeddings
and weighted composition operators, so that we can apply the Carleson measure theorem to obtain conditions for boundedness
and compactness of many weighted composition operators. Section 4 contains Theorem 4.4 which is a discrete version of the
Weiss Conjecture for contraction semigroups, and finally Section 5 shows how the usual (continuous time) Weiss Conjecture
is related to the discrete version studied here; in fact they are equivalent (for scalar valued observation operators). The
main advantage of the discrete version is that it is technically simpler – the observation operators are automatically bounded
and the functional calculus can be achieved using power series. 相似文献
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This is the first part of the book Space Structures: Theory and Applications, which provides an introduction to general topology. It consists of six chapters: structures and categories, structures of metric type, continuity structures, extension stuctures, classical bitopological structures, and the general theory of bitopological spaces. 相似文献
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Akram Nemri Fethi Soltani Abo-el-nour Abd-alla 《Complex Analysis and Operator Theory》2018,12(7):1549-1566
In this work, we introduce the Fock space \(F_\nu (\mathbb {C})\) associated to the Airy operator \(L_\nu \), and we establish Heisenberg-type uncertainty principle for this space. Next, we study the Toeplitz operators, the Hankel operators and the translation operators on this space. Furthermore, we give an application of the theory of extremal function and reproducing kernel of Hilbert space, to establish the extremal function associated to a bounded linear operator \(T{:}\,F_\nu (\mathbb {C})\rightarrow H\), where H be a Hilbert space. Finally, we come up with some results regarding the extremal functions, when T is the difference operator and the Dunkl-difference operator, respectively. 相似文献
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本文研究Pontrjagin空间上一般算子代数弱闭和一致闭的等价条件,得到定理:设C0(U),C1(U,L,R,D,V),C2a(U),C2b(U,R),C3a(U),C3b(U,R)分别是Ⅱk空间上第0,Ⅰ,Ⅱa,Ⅱb,Ⅲa和Ⅲb类的算子代数,则(1)C0(U),C2a(U)或C3a(U)为一致闭(弱闭)的等价条件是U是Hibert空间G上的C*-代数(W*-代数;(2)C1(U,L,R,D,V)为一致闭(弱闭)的等价条件是U是Hibert空间H上的C*-代数(W*-代数),并且R是闭子空间,V是闭算子,L对称闭的;(3)C2b(U,R)或C3b(U,R)为一致闭(弱闭)的等价条件是U是Hibert空间H上的C*-代数(W*-代数),并且R是闭子空间. 相似文献
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In this paper, we present a general version of the algebra AM(G) which was introduced by B. Forrest. Indeed, for a faithful commutative Banach algebra A, we embed it in ?(A), the multiplier algebra of A, and obtain Banach algebra AM. Then, we study the spaceability of AM? A and AM (G) ? ?A(G). These results give some characterizations of compactness and discreteness of locally compact groups. Also, we show that AM(G) is an ideal in its second dual if and only if G is discrete. Finally, we study the BSE-property of AM(G).
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