线性算子

The paper addresses the existence problem of generalized inverses for elements of a Banach algebra under perturbations and derives a sufficient and necessary condition for the existence of generalized inverse.

文中讨论了Banach代数元扰动后广义逆的存在性问题。用线性算子广义逆的稳定性问题的方法，得到Banach代数元扰动后广义逆存在的充分必要条件以及稳定的一个充分条件

In this paper,we mainly study some problems in semi-ordered Banach space and obtain a few new results.

本文分别对半序Banach空间中非线性算子一些问题进行了研究。

By fixed point index theory, multiplicity question of solutions to superlinear operator equations in ordered Banach space is discussed.

通过不动点指数理论，讨论了一类超线性算子方程的多重解问题。

Letbe Ra PID. M_n the n×n full matrix algebra over R,and f denotethe linear bijection over M_n.

设R是主理想整环，M_n是尺上全矩阵代数，f为M_n上的可逆线性算子。

It is to ask whether every bounded linear operator on a separable Hilbert space has a nontrivial invariant subspace and it can be reduced to the case of diagonal operator.

不变子空间问题是一个引人瞩目的公开问题，它是说在一个可分的Hilbert空间上是否每一个有界线性算子都存在非平凡的不变子空间？

In chapter 4, we give the definition of quasi-norm of linear operator with respect to a given bounded set in F* space and study some of its properties.

第四章 在F~*空间上给出线性算子关于一个给定有界集的拟范数的定义，研究它的某些性质。

In this dissertation,we investigate systematically somefundamental problems concerning the Cauchy problem for linear operatordifferential equations.

在本文中，我们就抽象空间中线性算子微分方程Cauchy问题的一些基本问题进行比较系统的研究，主要的工作是

In Chapter 4, on the basis of introducing the theory of linear operator semigroup and the Cauchy problem in Hilbert space, this dissertation has researched the method on solving solution of distributed parameter system, and the model estimation and optimal control of the nonlinear distributed parameter system.

本文第四章在介绍线性算子半群理论及希尔伯特空间中的柯西问题的基础上，研究了分布参数系统的近似解求解方法，一类非线性分布参数系统的模型辩识和最优控制等问题。

In Chapter 3, we study the conjugate linear operators on Hilbert spaces and normed spaces.

第三章：研究了Hilbert空间和赋范空间中的共轭线性算子。

The core of this thesis,which consists of the five chapters,discusses mainly the bound-edness on the homogeneous Morrey-Herz spacesdenoted by MK_(p,q~for some classes of higher order commutators which are generated by some common linear or sublinear op-erators.

本文共分五章，主要讨论了一些常见线性算子的高阶交换子在齐次Morrey-Herz空间MK_~上的有界性问题。

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。