查询词典 operator algebra

C~*—algebra; Operator space; Ternary ring of operators; Universal free product; Full amalgamated free product; TRO—homomorphism;*—homomorphism

基础科学，数学，数学分析C~*-代数；算子空间；算子三元环；泛自由积；全融合自由积； TRO-同态；*-同态

In Boolean algebra, an operator that indicates an executing operation and generally is located between two operands.

在布尔代数中，表示要执行的运算的算符。通常写在两个操作数之间。

Therefore, for every perfect Lie algebra L(E_1,E_2,E_3) with v = 2, its uniersal central extension has the vertex operator represention.

于是，对于每一个perfect李代数L(E_1，E_2，E_3)，当v=2时它的泛中心扩张都存在顶点算子表示。

The Laplace matrix is an active and important subject in Algebra Graph Theory. It is a discrete form of the Laplace operator on the compact Rimannian manifold acting on the graphs. It has been widely used in many fields such as Physics, Chemistry, Biology, Computer net science and Information theory ,etc. Some results on the Laplace matrix are given in this thesis.

本文主要研究了代数图论中的一个课题：单圈图的Laplace谱，它是黎曼流形上的拉普拉斯算子在图上的离散形式，Laplace矩阵在物理、化学、生物和计算机通信网络研究等学科中有着广泛的应用。

Lastly,Using the extension theory of〓-algebras founded and developed by Brown-Douglas-Fillmore in 70s,inparticular,using the homotopy invariance of the extensions and the indexformule of Toeplitz operator matrices,the paper characterized the automorphismgroup of the continuous function symbol Toeplitz 〓-algebra in terms of thetopological degrees of the continuous mappings on the n-dimensional sphere.

最后，本文利用Brown-Douglas-Fillmore在七十年代建立并发展起来的C*-代数扩张理论，尤其是扩张的同伦不变性，以及Toeplitz算子矩阵的指标公式，通过球面上连续映射的拓扑度，刻划了高维球面Hardy空间上连续符号Toeplitz 〓代数的自同构群。

In terns of the general theory of linear algebra, reduced matrix for the operator M are similar to a Jordan matrix J, namely M = S~lJS .

当约化矩阵M不可对角化时，根据线形代数的一般理论，这时约化矩阵M与一个约当矩阵J相似，即M=S~(-1)JS，其中S是关于k，q_0的任意可逆矩阵。

Opeator theory is one of the most important fields in functional analysis. In recentyears, Generalized Inverse and Effect Algebra have been live topics in operator theory.

算子论是泛函分析中一个极其重要的研究领域，算子的广义逆及效应代数是近年来算子论中比较活跃的研究课题。

With the operator language introduced by Baaj and Skandalis, we shall discuss the existence of Haar measure. on a C*-algebra in this paper.

采用法国数学家 Baaj 和 Skandalis 引进的算子语言讨论了C*－双代数中的 Haar 测度的存在性。

In this paper the quantum mechanical algebra, the Moyal-Weyl multiplication and the Bopp transition are introduced, and the Hamiltonian operator of the charged particle in electromagnetic field is also discussed.

首先扼要介绍了非对易相空间中的量子力学代数、Moyal-Weyl乘法和广义Bopp变换，然后讨论了电磁场中带电粒子的Hamiltonian算符，最后给出了其在非对易相空间中的能级情况。

Whenever calculus is brought in, or higher algebra, you could take it as a warning that the operator was trying to substitute theory for experience, and usually also to give to speculation the deceptive guise of investment.

一旦引入了微积分或者高等代数，你可以把这看作是一个警告，这意味着使用数学者是在用理论代替经验。通常这给了投机欺骗性的伪装，变得好像是投资一样。

Aquatic or marsh-growing fern allies; known to have existed since the Cenozoic; sometimes included in Lycopodiales.

生活于水中或湿地的蕨类；从新生代生存至今；有时归于石松目之中。

The engine was uprated from a 90hp Franklin to a 125hp Lycoming.

改良过的引擎是从90hp到125hp莱康明富兰克林。