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国家自然科学基金(10971023): 作品数：22被引量：26H指数：2; 导出分析报告; 相关作者：陈斌蔡乃才陈浩王玉玲霍耀东更多>>; 相关机构：渭南师范学院西北大学东华大学武汉大学更多>>; 相关期刊：《东华大学学报（自然科学版）》《河南科学》《江西科学》《科学技术与工程》更多>>; 相关主题：整数高斯函数SMARANDACHE可乘函数均值METRIC_SPACE更多>>; 相关领域：理学文化科学自动化与计算机技术建筑科学更多>>

Permanence of Metric Sparsification Property under Finite Decomposition Complexity: 《Chinese Annals of Mathematics,Series B》2014年第5期751-760,共10页Qin WANG Wenjing WANG Xianjin WANG; supported by the National Natural Science Foundation of China(Nos.11231002,10971023,10901033,61104154);the Fundamental Research Funds for Central Universities of China;the Shanghai Shuguang Project(No.07SG38); The notions of metric sparsification property and finite decomposition complexity are recently introduced in metric geometry to study the coarse Novikov conjecture and the stable Borel conjecture. In this paper, it is...; 关键词：Metric space Metric sparsification Asymptotic dimension Decomposi- tion complexity Permanence property

Banach Algebra Dynamical Systems被引量：2: 《Chinese Annals of Mathematics,Series B》2014年第2期285-300,共16页Dong LI Shengzhi XU; supported by the National Natural Science Foundation of China(No.10971023);the Shanghai Natural Science Foundation of China(No.09ZR1402000); Abstract This paper generalizes the C＊-dynamical system to the Banach algebra dynam- ical system （A, G, α） and define the crossed product A αG of a given Banach algebra dynamical system （A, G,α）. Then the re...; 关键词：Banach algebra dynamical systems REPRESENTATION Crossed product Left multiplier Reduced crossed product

极大和约化不变Roe代数的研究(英文): 《上海第二工业大学学报》2014年第1期67-72,共6页邓金涛王勤; 国家自然科学基金(No.11231002,No.10971023)资助; 度量空间和群本身的性质会影响极大和约化Γ-不变(一致)Roe代数的关系。当空间具有A性质,同时等距作用在该空间上的群具有顺从性时,那么,极大和约化Γ-不变(一致)Roe代数是同构的。; 关键词：A性质顺从性 Roe代数极大约化

The φ-Group for n Submodules Systems as a Generalization of the K-Theory: 《Chinese Annals of Mathematics,Series B》2014年第1期101-114,共14页Dong LI Xiaoman CHEN Shengzhi XU; Project supported by the National Natural Science Foundation of China(Nos.11231002,10971023);the Shanghai Natural Science Foundation(No.09ZR1402000); In this paper,the authors construct a φ-group for n submodules,which generalizes the classical K-theory and gives more information than the classical ones.This theory is related to the classification theory for indec...; 关键词：System of n subspaces System of n submodules Ф-Group K-THEORY Indecomposable system

Perturbation Analysis for Stability of Convolution Dominated Infinite Matrices: 《Journal of Donghua University(English Edition)》2013年第1期54-57,共4页李晋秀杨会丽; National Natural Science Foundation of China(No.10971023);Fundamental Research Funds for the Central Universities of China; Stability of infinite matrices has important applications to spline approximation, wavelets, Gabor time-frequency analysis, etc. In this paper, perturbation analysis for convolution dominated infinite matrices was stu...; 关键词：lp-stability convolution dominated operator compact perturbation

离散度量空间的秩一致ROE代数的理想: 《东华大学学报（自然科学版）》2010年第5期588-591,598,共5页楼火军李晋秀王显金胡莹洁; 国家自然科学基金项目(10971023);上海市浦江计划项目(08PJ1400600); 研究了离散度量空间上的秩一致ROE代数的理想结构同度量空间的粗几何性质的联系.对度量空间的每个子空间理想,构造了秩一致ROE代数的一个闭理想.证明了若度量空间具有G.YU提出的"性质A",则秩一致ROE代数的每个闭理想都可以由唯一的子空...; 关键词：度量空间一致ROE代数理想结构指标理论

Property A_(UB) of Metric Spaces under Decompositions of Finite Depth: 《Journal of Donghua University(English Edition)》2010年第5期618-622,共5页王显金杨军王勤; National Natural Science Foundations of China(No.10901033,No.10971023);Shanghai Pujiang Project,China(No.08PJ1400600);Shanghai Shuguang Project,China(No.07SG38);the Fundamental Research Funds for the Central Universities of China; Property AUB is the notion in metric geometry which has applications in higher index problems.In this paper,the permanence property of property AUB of metric spaces under large scale decompositions of finite depth is ...; 关键词：metric space property AUB uniformly convex Banach space large scale decomposition permanence property

On the Equi-nuclearity of Roe Algebras of Metric Spaces: 《Chinese Annals of Mathematics,Series B》2010年第4期519-528,共10页Xiaoman CHEN Benyin FU Qin WANG; supported by the National Natural Science Foundation of China(Nos.10731020,10971023);the Shu Guang Project of Shanghai Municipal Education Commission and Shanghai Education DepartmentFoundation(No.07SG38);the Foundation of the Ministry of Education of China; The authors define the equi-nuclearity of uniform Roe algebras of a family of metric spaces. For a discrete metric space X with bounded geometry which is covered by a family of subspaces {Xi}i=1^∞, if {C^＊（Xi）}i=1...; 关键词：Nuclear C^＊-algebra Uniform Roe algebra Equi-nuclear uniform Roe algebra

关于高斯函数的一个结论被引量：2: 《甘肃科学学报》2010年第4期43-45,共3页陈斌; 国家自然科学基金项目(10971023);陕西省教育厅基金项目(SJ08A22)(09JK426);陕西省基础数学重点扶持学科资助(10yks001);渭南师范学院基金项目; 根据高斯函数的定义及其性质,利用猜测、归纳等初等方法,证明了高斯函数的一个新结论.; 关键词：高斯函数素数合数偶数整数

关于数论函数的两个结论: 《科学技术与工程》2010年第21期5205-5206,共2页陈斌; 国家自然科学基金(10971023);陕西省教育厅基金(SJ08A22)(09JK426)(09JK430)(09JK432);渭南师范学院基金项目(10yks001);渭南师范学院教育教学改革项目(JG200923)资助; 采用初等方法,得出了关于高斯函数和整除的两个重要结论。; 关键词：整除最小公倍数高斯函数

国家自然科学基金(10971023)