内积空间

Hilbert空间作为一类内积空间是数学研究的重要对象之一。

Hilbert space as a class of inner product space is one of the important mathematical research objects .

本文完善和推广了在矩阵内积空间上的矩阵Padé-型逼近的理论和方法。

In this paper , theory and method of matrix Pad é - type approximation are improved and generalized in the inner product space .

p0&（强）半内积空间中算子理论的探讨

Probe into the Operators Theory in P_0 Strong Semi Inner Product Space

广义半内积空间及其广义p正常算子的性质

Properties of Generalized Semi - inner Product Spaces and p - normal Operator

（m，n）-正交性和内积空间的特征

( m , n ) orthogonality and characterizations of inner product spaces

广义Fuzzy内积空间

The Generalized Fuzzy Inner Product Space

H正交性的注解和内积空间特征

Note on H orthogonality and characterizations of inner product spaces

本文引入了弱概率内积空间，讨论了它与内积空间的关系，给出了H型弱概率内积空间的概率内积表示。

In this paper We introduce weak probability - inner-product-space and study some of its properties .

内积空间中Gram矩阵的半正定性

Half Positive Definitiveness of Gram 's Matrix in Inner-product Space

本文利用广义半内积空间及广义不定度规空间，解决Banach空间中P耗散算子的极大耗散扩张表示，并得到很有意义的应用。

In this paper the authors solve the maximal dissipative extension representation of P dissipative operators in Banach space and get some nice application .

借助于这一定义，在本文中建立了概率内积空间的Schwarz不等式、收敛性定理及正交性的概念。

By virtue of this definition , some convergence theorems , Schwarz inequality and the orthogonal concept for probabilistic inner product spaces have been established and introduced .

讨论了Birkhoff正交性与对偶映射、等腰正交性、勾股正交性和Roberts正交性之间联系，给出了内积空间的特征性质。

In this paper we carefully investigated some relationships between Birkhoff orthogonality duality map , and isosceles orthogonality , pythagorean orthogonality , and Roberts orthogonality , some characteristics of inner product spaces are also given .

所提出的广义共轭梯度算法是传统共轭梯度算法在Hilbert内积空间中的扩展算法，它以矩阵为变量，并用Hilbert空间内积下的正交性代替传统共轭梯度算法中的共轭性。

Using matrices as the variables , the generalized conjugate gradient algorithm is a generalization of the conventional conjugate gradient algorithm in Hilbert inner space by the way that the conjugacy in the conventional algorithm is replaced by the orthogonality under inner product defined on the Hilbert space .

本文讨论了Menger概率内积空间的线性拓扑结构，建立了空间上较为一般的收敛定理，勾股定理及正交投影定理等。

In this paper the linearly topological structure of Menger Probabilistic inner product space is discussed . In virtue of these , some more general convergence theorems , Pythagorean theorem , and the orthogonal projective theorem are established .

中线近垂性与内积空间的特征

Shortest Perpendicularity of Central Line and Characterization of Inner Product Spaces

关于内积空间中正交补集的一个注记

A Note on the Orthogonal Complementary Set in Inner Product Space

扩散系数与内压内积空间的一些特征

Diffusion Coefficient and Internal Pressure Some Characteristics of Inner Product Space

C&型概率内积空间的线性泛函与线性算子理论

On the theory of linear operators of probabilistic inner product C-space

贝叶斯网络诱导的内积空间与核函数

Inner Product Spaces Induced by Bayesian Networks and Kernel Functions

概率内积空间的拓扑结构

The structure of the topology on probabilistic inner product space

论证候的本质内积空间的特证

Discussion of the essence of syndrome manifestation Characterizations of Inner Product Spaces

概率内积空间的正交投影

The orthogonal projection on the probabilistic inner product spaces

概率内积空间中的凸集分离定理

Convex set separation theorems for probabilistic inner space

模糊内积空间中的投影定理

The Projected Theorem of Fuzzy Inner Product Space

随机内积空间若干几何问题

Some geometric problems in random inner product space

有限维内积空间的一些性质

Several Properties of n-dimensional Inner Product Space

闵科夫斯基内积空间上关于距阵乘积交换性的一些结论

Some result of commutation in Minkowski space

不定内积空间中的J&正规算子的若干初等性质

Some Elementary Properties of J & normal Operator in Space With an Indefinite Inner Product

闵科夫斯基内积空间上的正规阵（Ⅰ）

Normal Matrix in Minkowski Space ( ⅰ)

关于内积空间的特征

On Characterization of Inner Product Spaces