赋范空间

我们将致力于证明任何无穷维赋范空间的球面皆为可逆

We shall prove that the sphere of any infinite-dimensional normed space is invertible .

Fuzzy赋范空间上算子的连续性和有界性

Continuity and boundedness of the operators between fuzzy normed space

在文[3～5]中，不仅考察了这两种定义之间的关系，还讨论了Fuzzy赋范空间的性质以及其上广义Fuzzy线性算子的连续性等。

Properties in the fuzzy normed spaces .

有限维赋范空间到C（Ω）型空间的等距逼近问题

The problem of isometric approximation from finite dimensional normed spaces into c (ω) type spaces

对于线性赋范空间X上的线性算子T，当N（T）（？）

When N ( T ) ? In an X.

复赋范空间中复RS集的最佳同时逼近

Best simultaneous approximation from complex RS-sets in complex normed spaces

2-赋范空间和拟Banach空间中的华罗庚不等式

Hua Lo-Keng Inequality In 2-Normed Spaces and Quasi-Banach Spaces

N-指标Poisson过程的几种等价定义线性赋范空间中各种光滑性的等价定义

Some equivalent definitions of N-Parameter Poisson processes equivalent definitions of various kinds of smoothness in Normed Linear Spaces

Fuzzy赋范空间上的Hahn-Banach定理

Hahn-Banach theorem on fuzzy normed spaces

研究了复赋范空间中具限制系数的广义多项式集G对无穷序列的最佳同时逼近问题，得到了特征定理；

This paper is concerned with the problem of the best simultaneous approximation from generalized polynomials with restricted coefficients to an infinite sequence in complex normed linear spaces .

本文以自然的方式定义了从Z-空间X到Z-空间Y的有界线性算子的和以及它们的数乘.从而得到了与赋范空间的对偶空间理论类似的一系列结论。

Bounded linear operators from one Z-space X to another Y are defined naturally , and some results which approximates to the dual spaces theory of normed spaces are obtained .

n-Banach空间与2-赋范空间的光滑性

N-Banach spaces and smooth 2-Normed spaces

同时，还结合经典赋范空间的一些重要理论，得到了满足Birkhoff正交和等腰正交的条件。

At the same time , based on some important results in classical normed spaces , some sufficient conditions for Birkhoff orthogonality and the isosceles orthogonality are obtained .

本文讨论了多复变中混合赋范空间、Dirichlet型空间、Bloch型空间等全纯函数空间的一些等价刻画，获得了一系列充要条件。

In this paper , we will discuss some equivalent characterizations of mixed norm space , Dirichlet type space , Bloch type space in several complex variables and obtain a series of sufficient and necessary conditions .

在赋范空间中，证明了Lagrangian乘子存在性定理，定义了-超鞍点的概念，探讨了-超鞍点与-超有效解存在性之间的关系。

In normed space , the theorem of existence of Lagrangian multipliers is proved , and - super saddle point is defined , and the relations between - super saddle point and existence of - super efficient solution are discuss .

本文对完备的局部有界的概率赋范空间和完备的邻域N-局部凸概率赋范空间上的压缩映象，证明其存在唯一的不动点，并给出在一类Frechet空间上的应用。

This paper studies fixed points theorems about contraction mapping on probabilistic normed space . It is proved that every contraction mapping has a unique fixed point on a complete locally bounded PN space and also on a complete neighbor N-locally convex PN space .

第三章，研究定义在线性赋范空间上的非线性方程问题近似解及其解集的稳定性，得到线性赋范空间上在Baire分类下大多数非线性方程问题的近似解都是稳定的；

Chapter 3 , we study the stability of approximate solutions of nonlinear equation problems ( the continuous function is defined in the linear normed space ) . We prove that most of approximate solutions of nonlinear equation problems ( under Baire 's category ) are stable ;

线性赋范空间中各种光滑性的等价定义

Equivalent definitions of various kinds of smoothness in Normed Linear Spaces

非完备赋范空间上一族闭凸过程的共鸣定理

Uniform boundedness theorem of closed convex process on non-complete normed space

几乎概率赋范空间中的拓扑度理论与不动点定理

The topological degree and fixed point theorems of almost probability normed space

概率扩张与概率赋范空间中非线性方程的解

Probabilistic extension and solution of Nonlinear Operator Equations in Probabilistic Normed Spaces

赋范空间上紧线性算子零空间的性质

Naught space properties of compact linear operator in normed space

关于线性赋范空间的单位球面的λ分离子集

On a separated subsets of spheres of normed linear spaces

概率赋范空间上的连续线性算子空间的拓扑结构

Topological Structure of Space of Linear Continuous Operators Between Menger-Probabilistic Normed Spaces

完备度量空间与线性赋范空间中的不动点

Fixed Points on Complete Metric Spaces and Normed Linear Spaces

关于线性赋范空间联合最佳逼近的特征一文的一点评注

A comment onthe characteristics of best simultaneous approximation in linear normed space

一类新型概率线性赋范空间及其不动点定理

A new probabilistic normed linear spaces and fixed point theorems

线性赋范空间中一类非线性方程的迭代解

Iterative solutions of a class of nonlinear equations in linear Normed Spaces

n-赋范空间与有界n-线性泛函

N normed space and bounded n - linear functional

线性赋范空间中最佳逼近的强唯一性

Strong uniqueness of best approximation in normed linear spaces