1) weak inner product space
弱内积空间
2) weak probabilistic inner product space
弱概率内积空间
3) inner product spaces
内积空间
1.
Property P_λ and characterizations of inner product spaces;
P_λ性质和内积空间的特征
2.
Mobius maps in the inner product spaces;
内积空间中的Mbius变换
3.
In this paper characterizations of inner product spaces are obtained by studying properties of generalized orthogonalities, a quantitative characterization of the difference between Birkhoff orthogonality and Isosceles orthogonality is given, the definition of metric ellipse is introduced and basic properties of metric ellipses are studied.
本文利用赋范线性空间中的一些广义正交性给出了内积空间的一些特征性质，给出了等腰正交和Birkhoff正交性之间的差异的一种数量刻画，引入了Minkowski平面上度量椭圆的定义，并对它的基本性质进行了研究。
4) inner product space
内积空间
1.
Generalization of Some Characterisation Theorems of Inner Product Spaces and Their Remarks;
内积空间某些特征定理的推广和评注
2.
Note on H orthogonality and characterizations of inner product spaces;
H正交性的注解和内积空间特征
3.
Firstly,the generic conception of symmetry for a real sequence was proposed,and then,the symmetry-decomposition and the symmetric degree sequence are presented,which are deduced from the projection theory,the orthogonal-decomposition theory in inner product space and .
首先提出序列信号一般意义下的对称(反对称)概念,然后由内积空间中的投影、正交分解理论以及内积量化两个信号线性相关程度的特性导出任意信号的对称分解及对称程度序列,对称程度序列定量刻画了信号随对称点的变化时对称特性的变化,在此基础上得出任意序列信号对称程度的定量指标——对称性指标。
5) Hilbert inner product space
Hilbert内积空间
6) inner product Z-spaces
内积Z-空间
1.
This paper introduces the concept for inner product Z-spaces,it proves the spaces(X,‖·‖) obtained by introducing the sub-inner product into the sub-norm are Z-spaces.
引入了内积Z-空间的概念,证明了由次内积导入的次范得到的空间(X,‖。
补充资料：弱无穷维空间
弱无穷维空间
weakly infinite-dimensional space
弱无穷维空间〔we刹y词训te~‘n犯‘田‘匆，ce;cJIa606ec劝。e，。oMepooen一ocTpaHc，」 一个拓扑空间(topologjcal sPace)X，使得对其闭子集偶对的任意无穷系(A，，B‘)， A，自B，=沪，i=1，2，…，存在(A与B;之间的)分划(Partition)C，，满足自c=必.不是弱无穷维的无穷维空间称为强无穷维(strongly inl训te dinle比ional)空间.弱无穷维空间也称为A弱无穷维(A一weakly沉肋ited由℃nsional)空间.若在上述定义中，进一步要求c，的某有限子族有空的交集，就得出S弱无穷维空间(S一weak】y顾-nite .dinlensio耐sPace)的概念.【补注】除上述外，A弱就是AneKcaHJIpoB弱(Akk-san山{。vweakly)，S弱就是CM即HoB弱(Snurnovweakly).还有一种已经弃之不用的概念Hurewicz弱无穷维空间(Hurewicz一wea脚infin讹一山住r朋io耐space)，见综述[AI]， 为避免“无穷维空间”这个词的混乱，空间X要求可度量化，见【A2].
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条