算子环

Keywords: ring;additive map;automatic of operator

中文关键词：环；可加映射；算子的自动连续性

We discuss the relation between elementary maps and ring isomorphisms, andwe give a characterization of elementary maps on stndard operator algebras on Banachspaces, JSL-algebras and nest algebras. For Jordan-triple elementeary maps, we provetheir additivity on a class of ring and show a relation of them with Jordan isomorphisms. Furthermore. we describe the Jordan elementary maps on standard operator algebrasand nest algebras. We also study the semi-Jordan elementary maps on effect algebrasand the space of self adjoint operators.

研究了算子代数上的初等映射和环同构的关系，完全刻画了Banach空间上标准算子代数，JSL代数和套代数上的初等映射；讨论了Jordan-triple初等映射的可加性以及它和Jordan同构的关系，进而完全刻画了Banach空间上标准算子代数和套代数上的Jordan-triple初等映射；刻画了效应代数和自伴算子空间上的semi-Jordan初等映射。

A new algebraic system X is constructed by using the known loop algebra 1 and difference operators.

首先利用环代数1和微分算子构建一种新的代数系统X。

We also show that thc linking C~*-algcbra of the TRO-univcrsal free product of two TRO\'s is~*-isomorphic to thc universal free product of the linking C~*-algcbras of thc two TRO\'s.In addition, inspircd by thc concept of full amalgamated frcc product of C~*-algebras, by using thc full amalgamated free product of thc linking C~*-algcbras of ternary rings of operators,we introduce the definition of TRO-full amalgamatcd free product,and give its construction,which is provcd to satisfy the univcrsal propcrty.

另外，受C~*-代数全融合自由积概念的启发，利用算子三元环的连接C~*-代数的全融合自由积，本章把全融合自由积的概念扩展到了算子三元环上，引入了算子三元环全融合自由积的定义，给出了它的一个构造，证明了这种构造(来源：ABC论文3b3b3b网www.abclunwen.com)的确具有"泛性质"，并且证明了两个算子三元环的TRO-全融合自由积的连接C~*-代数*-同构于这两个算子三元环的连接C~*-代数的全融合自由积。

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

The Cancellation for modules have a good application background in the theory of vector bundles. As a common generalization of the comparability axiom and the cancellation law, T.

比较公理和一般可比性在算子代数，Bear环和正则环的研究中起着重要的作用；模消去在向量丛理论中有着很好的应用背景。

The controller makes the closed-loop systems internally stable and minimizes the H2 norm of the transfer matrix Tzw from w to z. Two Riccati formulae based on 8 operator is deduced. The H2 problems for continuous time systems, Z operator models and 8 operator models are investigated respectively.The guaranteed cost control problem of robust stabilization and robust performance for uncertain systems which is described by 8 operator is discussed in this paper.

采用Riccati方程处理方法讨论了基于Delta算子描述下的离散系统存在输出反馈控制器的问题，得到了两个基于Delta算子的Riccati方程，设计了Delta域的输出反馈控制器，使得闭环系统内稳定，且满足从w到z的传递矩阵T_的H_2范数最小，设计了基于Delta算子描述下的离散系统的最优控制器，并与S域和Z域的H_2控制器进行了比较。

This paper studies the invariant, which is the linear preserving problem based on generalized inverse of matrices. The generalized inverse of matrices and the research status of preserving problems of generalized inverse are outlined. In the basis of deeply understanding the basic knowledge of linear maps, the definition, characteristics of generalized inverse and decomposition of matrix, the author analyzes the decomposition form of preserving idempotence and preserving tripotence in the PID, then studies on the linear maps form of preserving group inverses of symmetric matrices.

本文研究的不变量是矩阵广义逆线性算子的保持问题，概述了广义逆矩阵，广义逆保持问题的研究现状，在对线性映射的基础知识，广义逆矩阵的定义、性质和矩阵的分解深入理解的基础上，深入分析了保幂等、保立方幂等矩阵在主理想整环上的分解形式，继而研究了保对称矩阵群逆的线性算子形式。

This thesis is devoted to study the free products of operator spaces and ternary rings of operators.

本文将在此基础上继续研究算子空间和算子三元环的自由积，引入一些新的概念，给出一些新的构造，并且研究这些构造所具有的性质。

The dissertation focuses on reviewing the proposed different hysteretic damping force versus velocity models of the MRD, and further proposes a generalized model which decouples the current control dependence on magnetic field and the hysteron dependence on exciting nature and is easy to derive the inverse model.

论文在综合分析国内外学者提出的MRD各种滞环阻尼力-速度特性模型基础上，提出了MRD的依赖于直流磁场的电流控制特性和依赖于激励性质的滞环算子可分离的半主动控制特性，建立了相应的电流控制与滞环特性相分离的一般化模型，且易于求解其逆模型。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。