算子

There are so many similarities between the new class of RH〓 and the class A〓, it is to be expected, therefore, that the Jones'factorization theorem for A〓 weights might be extended to include some information about the reverse H〓1der classes via those results concerning RH〓-weights, and we do it.

具体地说，就是借助于极小算子定义了RH〓算子，类似于A〓权的分解，我们对RH〓权的结构做了细致的刻划；第四、我们定义了一类新的算子—几何极小算子并致力于把A〓权的结果推广到鞅论上。

In addition, we study the reduced minimum modulus of the generalized Drazin inverse of an operator on a Banach space and give out lower and upper bounds of the reduced minimum modulus of an operator and its generalized Drazin inverse, respectively.

第四章讨论了左乘算子L_A∈BB(H的约化极小模与A的约化极小模的关系；讨论了广义Drazin可逆算子的广义Drazin逆的约化极小模的上下界及广义Drazin可逆算子的广义Drazin逆的约化极小模与算子的约化极小模的关系。

Secondly, the invertible assignment problem are studied. At last, we explored the conditions on the invertible completion of part matrix Mx and obtained the characterizations of the relovent operator of invertible completion.

利用构造分块初等矩阵、算子广义逆、极分解、谱分解为工具，深入地研究了算子对的逆补Mxy、算子逆配置的一系列等价刻画及一般性结论、缺项算子矩阵存在逆补Mx的等价刻画，并获得了逆补的预解集的性质刻画。

The main goal is to use some results and methods from classical analytic-function theory to determine some of the most basic questions you can ask about linear operators and functional space. At the same time using functional space theory and operator theory as a tool to study the classical questions in function theory.

解析复合算子的研究是解析函数论和算子理论结合的产物，其目的是利用经典解析函数论中的方法与结论探讨泛函空间与算子理论中的一些最基本的问题，同时也以泛函空间与算子理论为工具研究函数论中的经典问题。

By using matrix norm, matrix singular value, non-negative matrix theory, the regions of numaerical range and spectum of operator polynomial and the regularity of operator linear pencil are obtained.

8应用矩阵范数理论、矩阵的奇异值理论、非负矩阵的理论、友矩阵、算子的谱理论为工具，获得了算子多项式数值域具有的特性及其包含范围，算子多项式数值域与n-次数值域的关系，最后研究了算子线性束正则性的等价条件及谱分布情况。

The methods split the operator to the sum of two maximal monotone operator and in each iteration one has to compute the resolvent of one of the operators.

针对此问题，求解极大单调算子的零点的另一个常用算法-分裂算法，将原来的算子分裂为两个算子之和，在每一步迭代中，只需求出其中一个算子的预解式。

By using the cone theory and the iterative technique, the existence and uniqueness of positive fixed point for a class noncompact mixed monotone operator are studied.

本文利用锥理论和迭代技巧，研究了一类非紧混合单调算子正不动点的存在唯一性，改进和推广了混合单调算子、增算子与减算子的某些相应结果。

Moreover,we consider the techniques in calculating the map\'s degree respectively in two cases that the functional responses function is monotone and differentiable or is nonmonotonic and undifferentiable.

本文深入到算子度的计算方法尤其是抽象算子同伦映射的构造，并为抽象算子同伦映射的构造提供了普遍适用的操作方法，即一步到位构造一个多项式函数作为抽象算子的同伦映射。

Operator completions and numerical range of operator are very active topics in operator thoery and also have important value in both theory and application.

算子补问题及算子数值域是近年来算子论中最活跃的研究课题，在算子论的研究中有着重要的理论价值和应用价值。

Operator completions and numerical range of operator are very active topics in operator thoery and also have important value in bo...

算子补问题及算子数值域是近年来算子论中最活跃的研究课题，在算子论的研究中有着重要的理论价值和应用价值。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。