查询词典 operator norm

Some examples are given to explain orthonormality, adjoint operator, orthonormal projection operator, converges in norm and weak sense which used onwavelet theory.

重点说明希尔伯特空间的正交性、伴随算子、投影算子以及依范数收敛、弱收敛在小波理论中的体现。

It points out that the implication operator I defined by strict t-norms is not continuous at (0,0) and discusses under what conditions a t-norm induced by an implication operator is Archimedean.

指出了由严格的仁范定义的蕴涵算子方（＄叨在叮0）处不连续；并给出了什么样的蕴涵算子定义的t－范是阿基米德的。

Simultaneously, we identify that the perturbation of these operators by a small norm operator is still nonwandering; further, we can obtain the theory that every bounded linear operator can be decompositioned into nonwandering operators.

同时，证明了这些算子经一小扰动后，可保持它们的非游荡性不变；进而可获得有界线性算子关于非游荡算子的分解理论。

The title of this article is the estimate of the essential norm of a compositionoperator between Bloch-type spaces in the unit ball of C^n. That is to say, making useof the tool of the essential norm ,we get the upper estimate and the lower estimate ofthe composition operator which we have studied .In addition, we get a sufficient andnecessary condition for the composition operator to be compact.

本文主要讨论了单位球上Bloch型空间之间复合算子的本性模估计，即用本性模这个工具来研究复合算子并给出了我们所研究算子的本性模的上界和下界估计，并由此可以得到相应算子紧的充要条件。

The controller makes the closed-loop systems internally stable and minimizes the H2 norm of the transfer matrix Tzw from w to z. Two Riccati formulae based on 8 operator is deduced. The H2 problems for continuous time systems, Z operator models and 8 operator models are investigated respectively.The guaranteed cost control problem of robust stabilization and robust performance for uncertain systems which is described by 8 operator is discussed in this paper.

采用Riccati方程处理方法讨论了基于Delta算子描述下的离散系统存在输出反馈控制器的问题，得到了两个基于Delta算子的Riccati方程，设计了Delta域的输出反馈控制器，使得闭环系统内稳定，且满足从w到z的传递矩阵T_的H_2范数最小，设计了基于Delta算子描述下的离散系统的最优控制器，并与S域和Z域的H_2控制器进行了比较。

The matrix operator norm and unitarily invariant norm are two important normclasses.

0引言矩阵的算子范数和矩阵的西不变范数是两大类不同的重要范数类。

Furthermore it describes the norm equivalence of therearrangement invariant martingale spaces acted by the greater operator and the smaller operator, and it represents the norm equivalence of these spaces acted by maximal operator and square operator more deeply.

第五章考虑了重排不变鞅空间框架下的一致可积性与上、下算子以及极大算子、均方算子作用在鞅及其相伴鞅所成空间上的有界性。

In chapter5, the serial properties of numerical range of operator polynomial are put firstly. Secondly, the relation between numerical range of operator polynomial and n-numerical range are considered. Thirdly, in the light of matrix norm, matrix singular value, the regions and bounds of numerical range and spectrum of operator polynomial are dicussed carefully.

第五章研究了算子多项式数值域的性质、算子多项式数值域与n-次数值域的关系，特别地利用矩阵范数、矩阵的奇异值、非负矩阵的理论、友矩阵为工具，给出了算子多项式数值域及谱的范围全面刻画，并深刻地研究了算子线性束的正则性的等价条件及谱分布。

In this paper, we first show that the matrix2-norm is the only norm which is not only an operator norm but also a unitarily invariantnorm.

在［l，p.94］中曾提到，向量作为矩阵看待，归范化的西不变范数只有2一范数，本文将这一结论推广成，一个矩阵范数如果它既是算子范数又是规范化的西不变

Consecutive years won the provincial, municipal "water units operating norms,""Road operator norm unit" and "ABC AA grade credit enterprise", in particular, sets the annual Hong Kong not less than 26,000 TEUs and 1.5 million tons of refined many and resource-based steel, coal, and bulk import of waste the United States and of high purity, so that the company in North China and Kwong Fuk Zhejiang region enjoyed a high reputation.

多年来连续荣获省、市级"水路经营规范单位"、"公路经营规范单位"、"农行AA级信用企业"，特别是每年集港不少于26000个标箱和不少150万吨成品和资源型钢材、煤炭、散杂货以及进口高纯度美废，使该公司在华北和广福浙江地区享有很高的声誉。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。