共查询到20条相似文献,搜索用时 46 毫秒
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用相当简洁的初等办法,求出了维n欧氏空间中一类Sierpinski尘的Hausdorff测度的精确值. 相似文献
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无穷维线性空间中的非游荡算子 总被引:1,自引:0,他引:1
本文研究无穷维线性空间一类具有混沌特性的线性算子;非游荡算子。这是无穷维线性混沌系统中一类有广泛意义的算子,同时本文给出了非游荡算子紧集上的超循环分解。 相似文献
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A method of approaching to the infinite-dimensional linear operators by the finite-dimensional operators is discussed. It is shown that,for every infinite-dimensional operator A and every natural number n,there exists an n-dimensional optimal approximation to A. The norm error is found and the necessary and sufficient condition for such n-dimensional optimal approximations to be unique is obtained. 相似文献
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设(Ω,F,μ)为概率空间,v为(Ω,F)上的有限测度的密度定理,并研究了v的维数及维数分布的若干性质。 相似文献
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本文在适当的边界条件下证明了kyFan[1,Th,2]逼近定理对严格集压缩映象和凝聚映象在无穷维Banach空间中的圆环上也成立,作为应用,得到了弱内向映象的非零不动点定理。 相似文献
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MatijaCENCELJ DusanREPOVS 《数学学报(英文版)》2005,21(2):435-438
Using the relation between the set of embeddings of tori into Euclidean spaces modulo ambient isotopies and the homotopy groups of Stiefel manifolds, we prove new results on embeddings of tori into Euclidean spaces. 相似文献
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《Optimization》2012,61(3):421-432
Recently, in a data envelopment analysis framework, Amirteimoori and Kordrostami [A Euclidean distance-based measure of efficiency in data envelopment analysis, Optimization 59 (2010), pp. 985–996] introduced a Euclidean distance-based measure of efficiency in order to obtain the shortest path to the strongly efficient frontier from an assessed unit. In this article, we show a drawback of the aforementioned approach and two examples of its consequences. In order to overcome this weakness, we slightly modify a model introduced by Aparicio et al. [Closest targets and minimum distance to the Pareto-efficient frontier in DEA, J. Prod. Anal. 28 (2007), pp. 209–218]. 相似文献
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Morrey Spaces for Non-doubling Measures 总被引:6,自引:0,他引:6
Yoshihiro SAWANO Hitoshi TANAKA 《数学学报(英文版)》2005,21(6):1535-1544
The authors give a natural definition of Morrey spaces for Radon measures which may be non-doubling but satisfy certain growth condition, and investigate the boundedness in these spaces of some classical operators in harmonic analysis and their vector-valued extension. 相似文献
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Mathematical Notes - 相似文献
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Mathematical Notes - 相似文献
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We give a characterization of all those groups of isometric transformations of a finite-dimensional Euclidean space, for which an analogue of the classical Vitali theorem [1] holds true. This characterization is formulated in purely geometrical terms. 相似文献
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The Euclidean dimension of a graph G is the smallest integer p such that the vertices of G can be represented by points in the Euclidean space Rp with two points being 1 unit distance apart if and only if they represent adjacent vertices. We show that dim(Cm+Cn)=5 except that dim(C4+C4)=4, dim(C5+C5)=4, and dim(C6+C6)=6. 相似文献