查询词典 operator

In this paper, Chapter One describes the equivalent characterization of Bloch type space on the unit ball. By using it, a new condition is given, under which the composition operation between Bloch type space on the unit ball will be a bounded operator.

本文第一章给出了单位球上Bloch型空间的等价刻划，作为应用得到了单位球上Bloch型空间之间复合算子为有界算子的一种新条件。

The authors prove that if the kernel satisfies certain conditions, then the convolution operator is bounded from L to BMO or from BMO to BMO.

证明了如果卷积算子的核满足适当的条件，则算子是L到BMO有界的或是BMO到BMO有界的。

Let 〓 be two Hilbert spaces over the same field,and let T:〓a bounded linear operator with closed range.

在1.4中，我们在最一般条件假设下，给出了Hilbert空间上线性有界算子及其最小二乘解的误差分析，从而完整地解决了Hilbert空间算子的扰动理论。

Standard neural network model is the interconnection of a linear dynamic system and a bounded static nonlinear operator, which is depicted as a linear differential inclusion to be analyzed easily with linear matrix inequalities technique.

标准神经网络模型(SNNM-Standard Neural Network Model)由一个线性动力学系统和有界激励函数构成的静态非线性算子连接而成，被表示为线性微分包含的形式，便于利用线性矩阵不等式技术进行分析。

The purpose of this paper is to prove the existence of non-oscillatory solutions to second-order neutral time-lag differential equation with positive/negative coefficient by using contraction-image principle through defining an operator from a bounded,closed,and convex subset into Banach space.

通过定义有界闭凸子集到B anach空间上的一个算子，应用压缩映像原理讨论了带有正负系数的二阶中立型时滞微分方程非振动解的存在性，得到该方程非振动解存在的一个充分条件。

We first show some properties of such operators and give an explit description about the image of a linear bounded operator on a linear normed space. Then based on these results, we show the mean ergordic theorem on a C*-bial-gebra and get a sufficient and necessary condition for a linear functional to be Haar measure. Finally we discuss the sufficent conditions for the existence of Haar measure on C*-bialgebras.

本文首先通过考察这样算子的性质和刻画赋范线性空间中连续线性算子的像集的性质，证明了C*－双代数中的一个平均遮历定理，得到了C*－双代数中的线性泛函是 Haar 测度的充分必要条件；利用遍历定理和这个充分必要条件探讨了C*－双代数中 Haar 浏度存在的一些充分条件。

The content of this course is divided into four chapter, the normed linear space and bounded linear operator on the normed space; the character of finite dimensional linear space; the basic theorems on Banach space.

本课程主要分为四章，赋范线性空间与内积空间；赋范线性空间上的有界线性算子，有限维赋范线性空间的特征。Banach空间中的基本定理：泛函存在定理，一致有原理，开映象，闭图象、逆算子定理。

Let A" denote the commutant of a bounded linear operator S on H and R denote the collection of all operators in A" which are compact and upper triangular operators with diagonal sequence being zeros. In this paper, we show that if A"= CI + R, the K_0-group of A" is isomorphic to the integer group.

本文指出若H上的有界线性算子S的换位代数A′=CI+R，其中C是复数域，I是H上的单位算子，R是所有与S可交换的对角线为0的紧上三角有界线性算子的集合，则K_0A′

Let Xand Y be different Banach spaces and 〓Lbe a bounded linear operator,thegeneralized condition number 〓and〓ABA=A,B〓L}are studied.

文章讨论了两类广义条件数的几种表达式，研究了这两类广义条件数之间的关系，并将它们用到算子方程的扰动估计中，推广了Demko[IV.1]中的结果。

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。

I think people in this lifetime in a rebirth.

我觉得人在这一生里其实也在轮回。

He had to tie her hands together.

他不得不把她的双手绑在一起。