This paper proved that for a quantized metric space (A,■) coming from an action a of a compact group G on a C*-algebra A, there exists a sequence of finite-dimensional quantized metric spaces (An ■~(n)) such that (A, ■) is the limit of {(An ■~(n))} with respect to quantized Gromov-Hausdorff distance.
矩阵序单位空间(A,1)和矩阵Lip-范数■构成了量子化的度量空间(A,■)。
By a quantized metric space, we mean a pair (A, (?)) consisting of a matrix order unit space (A, 1) with a matrix Lip-norm (?) defined on it.
一个量子化的度量空间是一对(A,L),它是由一个矩阵序单位空间(A,1)和在(A,1)上定义的一个矩阵Lip-范数L组成的,量子化的度量空间上的Gromov-Hausdorff距离是度量空间上的Gromov-Hausdorff距离在非交换空间上的推广,我们证明了:对于一个量子化的度量空间(A,L),一个紧群G和G在A上的作用α,则存在有限维量子化的度量空间(B_n,L|B_n),使得(A,L)是{(B_n,L|B_n)}在量子化的Gromov-Hausdorff距离下的极限。
Found Method of the Standard Vector Group in a Finitely Generated Fuzzy Vector Subspace;
有限生成模糊向量子空间中标准向量组的求法
Adaptive Object Tracking with Incremental Tensor Subspace Learning
基于增量张量子空间学习的自适应目标跟踪
M-Laplacian on Metric Space;
度量空间上的m-Laplacian算子
General Basis of a Finitely Generated Subspace of the Fuzzy Vector Space;
模糊向量空间的有限生成子空间的一般基
Research Single-Photon Acquisition Technique in Free-Space Quantum Communication
空间量子通信中单光子捕获技术研究
Geometric Quantum Computation in a Decoherence-Free Subspace
无消相干子空间的几何量子计算方案
In an infinite dimensional space there always exist two subspaces whose vector sum is different from their span.
在一无限空间中恒存在两个子空间,其矢量和与其张成空间不同。
Definition2: Given two vector spaces ,if ,then V1 is called a subspace of v2 .
易见,任何维向量组生成的向量空间都是的子空间。
Infrared Absorption of Spatially Ordered Quantum Dot Superlattices
空间有序的量子点超晶格的红外吸收
Augmented Spinor Space and Riemann-Roch Operator;
增广的旋量空间和Riemann-Roch算子
The Study of Quantum Teleportation in High-Dimensional Hilbert Space;
高维Hilbert空间中量子隐形传态的研究
The Study of Quantum Information in High-Dimensional Hilbert Spaces;
高维Hilbert空间中量子信息的研究
The Decomposition of Vector Valued Weighted Herz Type Hardy Spaces;
向量值的加权Herz型Hardy空间的原子分解
The Quantum Analysis on Guichardet-Fock Space
Guichardet-Fock空间的量子随机分析
Researches on infimum of Hilbert space quantum effect
关于Hilbert空间量子效应下确界的研究
The spatial degrees of freedom of MIMO quantum channels
MIMO量子信道的空间自由度研究
Littlewood-Paley Operator with Variable Kernel in Generalized Morrey Spaces
广义Morrey空间上带变量核的Littlewood-Paley算子
Estimation of Signal Parameters via Rotational Invariance Techniques Algorithm with Speedy Fourth-Order Cumulants
快速四阶累积量旋转不变子空间算法