给出了线性赋范空间中球的几个平移性质及其应用。
In this paper, some properties of translation and application for ball in normed linear space are given.
本文讨论了利用线性赋范空间中已知的几种正交性概念来给出内积空间的某些特征。
In this paper we have discussed the characterizations of inner product Spaces by using several different concepts of orthogonality in normed linear Spaces which have been given by various authors.
本文证明了赋范线性空间中有界齐性算子与在零点连续的齐性算子等价。
In this paper, the equivalent relation of boundedness and continuity at zero for homogeneous operator in normal linear space is proved.
本文指出了赋范线性空间上的一些局部凸拓扑的完备性与它的单位球上相应的诱导拓扑的完备性之间的关系。
The relation between the completeness of several local convex topology in normed vector space and that of induction topology of its unit ball was pointed out in this paper.
表示出了一类赋准范空间的随机对偶空间，并证明这类赋准范空间之间，几乎处处有界线性算子所组成空间的完备性。
The random dual Spaces of a class of quasi-normed Spaces is given. The completeness of the Spaces having bounded operators all most everywhere has also been proved.
把计算方法中的最小二乘法与泛函的抽象空间联系起来，得到最佳逼近问题的抽象提法，并在赋范线性空间探讨最小二乘法。
This article focuses on the topics that by connecting the the least-squares Minimization with the functional abstract space, the abstract definition of the best approximation problem is abtained.
数学方法：线性代数，赋范空间，分布，积分。
Mathematical Methods: Linear Algebra, Normed Spaces, Distributions, Integration.
本文证明了在一定条件下赋范线性空间与其共轭空间的单位球面之间的等距算子可以延拓为全空间的实线性等距算子。
In this paper, we show that the isometry between the unit spheres of certain normed space and its dual space can be extended to a real linear isometry on the whole space.
证明了模糊赋范空间上有界线性算子的一个保范延拓定理。
Naught space properties of compact linear operator in normed space;
证明了模糊赋范空间上有界线性算子的一个保范延拓定理。
Naught space properties of compact linear operator in normed space;
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