Operator Algebras

T-derivations of standard operator algebras

标准算子代数的T-导子

Many people have been studying the Lie structure ( Lie ideals, Lie derivations, Lie isomorphism) because it is very important to reveal the structure of various operator algebras.

对于算子代数的Lie结构（如Lie理想、Lie导子、Lie同构等）的研究人们一直在进行着，这是因为它对于全面揭示各种算子代数的结构具有重要的意义。

Non-Commutative Lipschitz-φ Operator Algebras

非交换Lipschitz-φ算子代数

Properties C_ σ, and Reflexivity of Operator Algebras

算子代数的Cσ性质、Cσ性质与自反性

Mappings on Operator Algebras and Quantum Logics

算子代数和量子逻辑上的映射

Commutators of Non-Self-Adjoint Operator Algebras

非自伴算子代数的换位子

Study on the K-theory of Operator Algebras on Banach Spaces

Banach空间上算子代数K-理论的初探

The next two chapters discuss K-groups of operator algebras B ( X) on Banach space X combining the series of G-M results of the structural theory on Banach space.

后面两章结合Banach空间结构理论中G-M系列成果对Banach空间上算子代数B（X）的K群进行研究。

The paper further develops the theoretical system of spatial operator algebras and describes the high-efficiency modeling of the general dynamics of active interventional multi-body system by use of spatial operator.

论文进一步发展了空间算子代数理论体系，采用空间算子处理了介入诊疗机器人多体系统动力学高效率建模问题。

Many results related to the research for maps on operator algebras have been obtained.

近年来，算子代数上的线性映射的研究取得了不少成果。

The article discuss the K-theory of operator algebras.

本文研究了算子代数的K-理论。

In this paper, some properties of semisimple generalized vertex algebras ( resp. semisimple generalized vertex operator algebras), for example the decompositions of these algebras;

讨论了半单广义顶点代数（相应地半单广义顶点算子代数）的若干性质，例如：这些代数的分解；

Advances in cohomology of operator algebras

算子代数上同调论进展

Completely positive maps on matrix operator algebras

矩阵算子代数上的完全正映射

Structures of Operator Lie Algebras and Uniqueness of the Decomposition

算子李代数的结构及分解唯一性

On the operator topological algebras ∑( X, Y)

关于算子拓扑代数∑（X，Y）

Real Operator Algebras on a Complex Hilbert Space

复Hilbert空间上的实算子代数

In order to discuss the structure of operator algebras, in recent years, many scholars both here and abroad have focused on linear mappings on operator algebras and have been introduced more and more new methods.

为了进一步探讨算子代数的结构，近年来，国内外诸多学者对算子代数上的线性映射进行了深入研究，并不断提出新的思路。

On Operator Lie Algebras

算子李代数

Functional Analysis and Operator Algebras; Quantization Methods and Path Integration; Variational Techniques.

泛函分析和算子代数；量子化方法和路径积分；变分技术。

In chapter 2, we give the classification concept of degenerate operator algebras on the nk spaces by symmetric ideals, and show that thus operator algebra consists of six classes.

第二章利用对称理想给出∏k空间上退化算子代数分类的概念。说明∏k空间上退化算子代数分为六类。

In chapter 4, we discuss the Jordan derivations on certain reflexive operator algebras and the 2-local derivations on digraph algebras.

第四章研究了一类CSL代数上的Jordan导子和digraph代数上的2-局部导子。

Axioms of Operator Algebras

算子代数的公理

Master's academic article "Study on the K-groups of operator algebras B ( X)" is the organic combinative result of the study on the theory of Banach space and the operator theory of functional analysis.

硕士学位论文《关于算子代数B（X）的K群的相关研讨》是泛函分析学科Banach空间理论与算子理论有机结合进行研讨的产物。

We consider the operator algebras on the Pontrjagin spaces, and study the classification problem of degenerate operator algebras, the derivations problem of operator algebras, and the symmetric problem of ideals in operator algebras.

本文考虑Pontrjagin空间上的算子代数。讨论了退化算子代数的分类问题；算子代数理想的对称性问题；算子代数的导子问题以及算子代数的交换性问题。

As B ( X) is one of the most fundamental operator algebras, the preserver problems on B ( X) is the research foundation of the similar problems on general operator algebras.

B（X）作为最基本的算子代数，其上保持问题的研究是其它算子代数上保持问题研究的基础。

We mainly consider completely monotone functions from semigroup to operator algebras.

我们主要讨论了作用在半群上取值于算子代数的完全单调函数.

For example, elementary mappings, linear preserving problems and so on were introduced successively, at present time these mappings have become important tool in studying operator algebras.

例如，初等映射以及线性保持问题等概念先后被引入，目前这些映射已成为研究算子代数不可缺少的重要工具。

Maps Completely Preserving Invertibility or Zero Divisors on Standard Operator Algebras

标准算子代数上完全保可逆性或零因子的映射

Some Derivable Mappings on Operator Algebras

算子代数上的若干可导映射