共查询到20条相似文献,搜索用时 31 毫秒
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We consider an inclusion B⊆M of finite von Neumann algebras satisfying B′∩M⊆B. A partial isometry v∈M is called a groupoid normalizer if vBv∗,v∗Bv⊆B. Given two such inclusions Bi⊆Mi, i=1,2, we find approximations to the groupoid normalizers of in , from which we deduce that the von Neumann algebra generated by the groupoid normalizers of the tensor product is equal to the tensor product of the von Neumann algebras generated by the groupoid normalizers. Examples are given to show that this can fail without the hypothesis , i=1,2. We also prove a parallel result where the groupoid normalizers are replaced by the intertwiners, those partial isometries v∈M satisfying vBv∗⊆B and v∗v,vv∗∈B. 相似文献
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Daniel Carando Silvia Lassalle 《Journal of Mathematical Analysis and Applications》2008,347(1):243-254
We study the existence of atomic decompositions for tensor products of Banach spaces and spaces of homogeneous polynomials. If a Banach space X admits an atomic decomposition of a certain kind, we show that the symmetrized tensor product of the elements of the atomic decomposition provides an atomic decomposition for the symmetric tensor product , for any symmetric tensor norm μ. In addition, the reciprocal statement is investigated and analogous consequences for the full tensor product are obtained. Finally we apply the previous results to establish the existence of monomial atomic decompositions for certain ideals of polynomials on X. 相似文献
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R.S. Manikandan 《Discrete Mathematics》2010,310(21):2776-2789
In this paper, it is shown that the tensor product of the complete bipartite graph, Kr,r,r≥2, and the regular complete multipartite graph, , is Hamilton cycle decomposable. 相似文献
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Yuan CHEN 《Frontiers of Mathematics in China》2012,7(3):415-426
In this paper, we consider the module-relative-Hochschild homology and cohomology of tensor products of algebras and relate
them to those of the factor algebras. Moreover, we show that the tensor product is formally smooth if and only if one of its
factor algebras is formally smooth and the other is separable. 相似文献
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In this study we apply convolution and tensor products of distribution to solve the non-homogenous wave equation with initial condition and discuss the uniqueness and continuity of solution. We also show that the tensor product can be applied to compute the some singular integrals. 相似文献
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The well-known factorization theorem of Lozanovski? may be written in the form L1≡E⊙E′, where ⊙ means the pointwise product of Banach ideal spaces. A natural generalization of this problem would be the question when one can factorize F through E , i.e., when F≡E⊙M(E,F), where M(E,F) is the space of pointwise multipliers from E to F . Properties of M(E,F) were investigated in our earlier paper [41] and here we collect and prove some properties of the construction E⊙F. The formulas for pointwise product of Calderón–Lozanovski? Eφ-spaces, Lorentz spaces and Marcinkiewicz spaces are proved. These results are then used to prove factorization theorems for such spaces. Finally, it is proved in Theorem 11 that under some natural assumptions, a rearrangement invariant Banach function space may be factorized through a Marcinkiewicz space. 相似文献
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Robin Harte 《Journal of Mathematical Analysis and Applications》2007,336(2):1124-1131
The transmission of “Weyl's theorem” from operators on Banach spaces to their tensor products, and also to their associated multiplication operators, is deconstructed. 相似文献
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Jan Stochel 《Proceedings of the American Mathematical Society》1996,124(1):135-140
The question of seminormality of tensor products of nonzero
bounded linear operators on Hilbert spaces is investigated. It is shown that is subnormal if and only if so are and .
bounded linear operators on Hilbert spaces is investigated. It is shown that is subnormal if and only if so are and .
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The tensor product of graphs , and is defined by and Let be the fractional chromatic number of a graph . In this paper, we prove that if one of the three graphs , and is a circular clique, 相似文献
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Sten Kaijser 《Journal of Mathematical Analysis and Applications》2003,278(2):367-375
Using tensor products of Banach couples we study a class of interpolation functors with the property that to every Banach couple of Banach algebras they give an interpolation space which is a Banach algebra. For the real θ,1-method we give a complete answer to the question of when the interpolation space is unital. 相似文献
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唐笑敏 《高校应用数学学报(A辑)》2006,21(4):489-494
在Cn中单位球上讨论了加权Bergman空间Aαp和Bloch型空间βq之间的点乘子.根据α,p,q的不同情况,得到了Aαp空间到βq空间的所有点乘子,并研究了βq空间到Apα空间的点乘子的性质. 相似文献
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Joachim Zacharias 《Proceedings of the American Mathematical Society》2001,129(2):407-413
We prove splitting results for subalgebras of tensor products of operator algebras. In particular, any -algebra s.t. is a tensor product provided is simple and nuclear.
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Derek Kitson Carlos Hernández 《Journal of Mathematical Analysis and Applications》2011,378(1):128-132
Approximately fifty percent of Weyl's theorem fails to transfer from Hilbert space operators to their tensor product. As a biproduct we find that the product of circles in the complex plane is a limaçon. 相似文献
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《Journal of Complexity》2016,32(6):867-884
We are interested in approximation of a multivariate function by linear combinations of products of univariate functions , . In the case it is the classical problem of bilinear approximation. In the case of approximation in the space the bilinear approximation problem is closely related to the problem of singular value decomposition (also called Schmidt expansion) of the corresponding integral operator with the kernel . There are known results on the rate of decay of errors of best bilinear approximation in under different smoothness assumptions on . The problem of multilinear approximation (nonlinear tensor product approximation) in the case is more difficult and much less studied than the bilinear approximation problem. We will present results on best multilinear approximation in under mixed smoothness assumption on . 相似文献
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In this paper we give first- and second-order conditions to characterize a local minimizer of an exact penalty function. The form of this characterization gives support to the claim that the exact penalty function and the nonlinear programming problem are closely related.In addition, we demonstrate that there exist arguments for the penalty function from which there are no descent directions even though these points are not minimizers.This research is partially supported by the Natural Science and Engineering Research Council Grant No. A8639 and the U.S. Department of Energy. 相似文献