算子范数

关于Fourier部分和算子范数上下界的新估值

A new evaluation for the norm of the Fourier operator S-n

Bergman空间中复合算子范数的连续性

Continuity of the Norm of a Composition Operator on Bergman Space

某样条投影算子范数界的一点注记

A note on bound for the norm of certain spline projection

结论算子范数对于估计有界线性算子乘积与和的谱半径是至关重要的。

Conclusion Norm of operator is very important to estimate the spectral radius of operator .

本文讨论了强有界算子范数间的关系及强有界算子空间的各种完备性，得出了强有界算子的一致有界原理。

In this paper , the relationship among the norms of strong bounded linear operator and the various completeness on the space of strong bounded linear operators are considered ; furthermore , the principle of uniform boundness of strong bounded linear operators is given too .

Bergman空间上复合算子的范数与本性范数

Norm and essential norm of composition operator on Bergman Space

三次（Ⅰ'）型插值样条算子的范数

The norm of type (ⅰ ' ) cubic spline interpolation operator

随机赋范空间中算子随机范数与共鸣定理及应用

The Random Norm of Operators and Principle of Uniform Boundedness and Applications in Random Structure Space

若干个线性算子的范数同时逼近于其谱半径之可能性

On Finite Systems of Linear Operators Whose Norms May Be Used to Approximate Their Spectral Radii Simultaneously

利用单位圆N（0，1）讨论PN空间中线性算子的概率范数的几个性质。

The property of the probabilistic norm of the linear operator in PN space with unit circle N ( 0,1 ) is discussed .

算子在Ba范数下的饱和类，在Orlicz空间及Lp空间中的相应结论作为Ba空间理论的应用而给出。

The corresponding results in Orlicz space and Lp space are given by the applications of Ba space theory .

Bergman空间上Hankel算子的本性范数的刻划

The Characterization of the Essential Norm of the Hankel Operators on Bergman Spaces

广义鞅变换算子的Orlicz范数不等式及其应用

The Orlicz Norm Inequalities for Generalized Martingale Transfrom Operators

本文给出一类E&空间（即取值于Banach空间的随机变量空间）上的随机算子的概率范数的定义。

This paper gives a definition of probabilistic norm of random operators on a class of E-space ( i.e.a random variables space taking values from a Banach space ) .

在CL方法的数值分析中，我们需要考虑Chebyshev插值算子按L~2范数意义下的稳定性和逼近性质，而不是通常的带Chebyshev权范数意义下的稳定性和逼近性质。

In numerical analysis of such methods , we need to consider the stability and approximation properties of the Chebyshev interpolation operator in L2-norm rather than in the Chebyshev weighted norm .

应用线性算子的概率范数，证明了一般的PN空间上线性算子有界与连续的等价性，并进一步揭示这一等价关系的实质。

In this paper , by means of probabilistic norm of linear operators , the equivalence theorem for continuity and boundedness of linear operators on a PN space is proved and essential qualities of this equivalence is expounded too .

关于Riesz-mean算子的加权范数不等式

The Weighted Norm Inequalities for Riesz-mean Operators

利用正交变换及其快速算法，以迭代算子的Frobenius范数最小为准则，推广了求解电大尺寸电磁场问题的离散卷积法和修正离散卷积法，提出了一类迭代法，即广义离散卷积法。

By means of the orthogonal transform and its fast algorithm , the generalized discrete convolution method is presented in this paper under the condition of minimal Frobenius norm of the iterative operator .

关于线性算子的概率范数与算子空间

On Probabilistic Norm of a Linear Operators and Space of Operators

第二章的内容是算子不等式及范数不等式。

The contents of the second chapter are operator inequalities and norm inequalities .

本文讨论了两个特殊的初等算子的本性范数。

The essential norm of two special elementary operators is discussed in this paper .

概率赋范空间上线性算子的概率范数

Probabilistic Norm of Linear Operators on PN Space

π空间上算子矩阵的范数不等式

Normal Inequality of Operator Matrix on Spaces

在第二章中，作者以谱分解、函数演算等为工具，给出一些重要的算子不等式与范数不等式。

In this chapter , we give some operator inequalities and norm inequalities by means of spectral decomposition and functional calculus .

利用模糊分解原理提出模糊赋范线性空间上算子的模糊范数的定义，指出赋此范数的模糊有界线性算子集构成模糊赋范线性空间且保持值域空间的完备性。

A new definition of fuzzy norm of linear operators on a fuzzy normed space is introduced . It is showed that the set of fuzzy bounded linear operators endowed with the new fuzzy norm is still a fuzzy normed space and preserves the completeness of their range .

Banach空间上相容算子方程的最小范数解的扰动分析

Perturbation analysis for the minimal norm solution of the consistent operator equation in Banach spaces

提出了附属于非线性算子A的半范数A及微分方程式的广义解算子E的概念与性质，并引入非线性差分逼近的相容性、收敛性、稳定性概念。

This paper gives the conceptions of consistency , convergence , stability , seminorm of an operator of the nonlinear difference approximation and the Lax 's equivalence theorem to the non-linear case .

对一类Delta算子描述的具有范数有界不确定性的非线性TS模糊系统，研究其状态反馈最优保性能控制器设计问题。

The optimal guaranteed cost controller design problem for nonlinear system with norm-bounded time-varying uncertainty is researched . The Takagi-Sugeno ( T-S ) fuzzy model in Delta-operator form is adopted for fuzzy modeling of the uncertain nonlinear system .

该文研究Lipschitz映射空间作为一个Banach空间的结构性质，主要研究了它的闭子空间有界线性算子空间（赋予算子范数）在其中的可余性。

In this paper we study the structures properties of the space of Lipschitz mappings as a Banach spaces , mainly we have studied the complementarity of its closed subspace the space of bounded linear operators .

Laplace-Beltrami算子和Green算子复合作用的范数不等式

The norm inequalities for compositions of Laplace-Beltrami operator and the Green 's operator