线性算子

On the basis of this, we estaiblish a theory of the space of bounded linear operators on F* spaces.

在此基础上，建立F~*空间上有界线性算子空间的理论。

A three solutions theorem of nonlinear operator equation in Hilbert space was given by Sun Jing-xian in 1983,in this paper,the theorem was expanded to general Banach space by using gradient method ,and some conditions was weakened,such as the local Lipschitz condition s transformation to the bounded character of F and so on.

依据H ilbert空间中非线性算子方程的一个三解定理，本文运用最速下降法将这个定理推广到了一般的Banach空间，并且减弱了原定理的某些条件，如将局部Lipschitz条件减弱为F的有界性等

Based on different linear operators, some of the properties and characteristics of p-valent analytic functions and meromorphic multivalent functions were investigated extensively in this paper.

近年来，基于不同的线性算子，某些p叶解析函数类或亚纯函数类的性质和特征被广泛地研究。

In chapter one, the background and current situation of the nonlinear operator theory in probabilistic metric spaces are introduced, and the preliminaries of probabilistic metric spaces are given. The main problems studied in the thesis, the expected conclusions and the study and research significance of this thesis are introduced.

第一章，介绍了概率度量空间中非线性算子理论发展的历史背景、现状以及概率度量空间中的预备知识；介绍了本文所研究的主要问题、预期取得的结果以及研究意义。

The representation of all the solutions for the equation Lv=f is obtained through constructing a standard orthogonal basis of null space N.

通过构造零空间的一组标准正交基，得到了线性算子方程Lv=f的所有解的表达形式。

In this thesis, some problems for nonlinear operators and their applications in probabilistic metric spaces are studied.

本文主要研究概率度量空间中非线性算子的理论与应用。

Firstly, we obtain the well-posedness of the system by the semigroup theory of bounded linear operators.

首先， 利用有界线性算子半群理论得到了系统的适定性。

Suppose be an arbitrary field with at least 3 elements,T_2 be 2×2 upper triangular matrix algebras,P_2={A∈T_2:A_2=A}.

研究了矩阵空间保不变量问题中的不变量是矩阵的逆的线性算子保持问题。

In Chapter 3,we derive the second-order-derivative-free iterations with two parameters from the third-order iterations with one parameter to approximate the roots of nondifferentiable equations in Banach space.

第三章，从带一个参数的三阶迭代族出发，构造了一族免二阶导数计值带两个参数的迭代族，用其去逼近Banach空间中非线性算子方程的解。

The authors discussed the weak boundedness for some sublinear operators on weighted Herz space s.

研究了一类次线性算子在加权Herz空间。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。