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- local convex hausdorff spaces 局部凸Hausdorff空间
- Locally convex Hausdorff topological vector space 局部凸Hausdorff拓扑线性空间
- In fact, this property characterizes the compact Hausdorff spaces. 这和“背景空间”没有关系。
- 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. 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。
- To be precise, if you embed a compact Hausdorff space K in an arbitrary Hausdorff space X, then K will always be a closed subset of X;the "surrounding space" does not matter here. 精确地说，将紧致的豪斯多夫空间 K 放在任意豪斯多夫空间 X 中，K 总是 X 的一个闭合子集；
- Every weakly countably compact closed convex set in a locally convex space has the quasi-weak drop property. 局部凸空间中每个弱可数紧闭凸集具拟弱滴状性质.
- The object of this thesis was the study of a differential geometry for a Hausdorff space endowed with an affine linear connection and a non-holonomic linear connection. 本文运用微分转换法结合有限差分法于考虑规则外型与不规则外型边界下求解非线性及非均质热传导问题。同时，亦运用微分转换法结合有限差分法于求解双曲线型热传导问题。
- In this paper we extend the width problems in normed space to locally convex space and some results are given. 本文将赋范空间中的宽度推广到了局部凸空间;并得到了一些相应的结论.
- The problem of the existence of a cone subdifferential for the cone convex set valued maps in the locally convex, linear and topological vector space is discussed. 在局部凸线性拓扑向量空间讨论了一种锥凸集值映射的锥次微分的存在性问题;证明了几个锥次微分的存在定理.
- The problem of the existence of a cone subdifferential for the cone-convex set-valued maps in the locally convex, linear and topological vector space is discussed. 在局部凸线性拓扑向量空间讨论了一种锥凸集值映射的锥次微分的存在性问题;证明了几个锥次微分的存在定理.
- Weak L-fuzzy Hausdorff spaces and their properties 空间及其性质
- Let X be a real linear space,P a family of separated seminorms on X and TP the locally convex separated topology on X generated by P.The concepts of the S-simplest form of a seminorm family P and the P-reflexive locally convex space (X,TP) are introduced. 设X是实线性空间;P是X上的一族分离半范数且TP是X上由P生成的局部凸分离拓扑.
- Under several suitable transformations, the problem of positive solutions for set-valued condensing mapping equation in an ordered locally convex topological space is studied by some homotopy method. 摘要本文用某种同伦方法，借助于一些适当的变换，讨论了有序的局部凸拓扑线性空间中集值凝聚映象方程的正解问题。
- The seminorm family P and its every S-simplest form generate the same locally convex separated topology on X are proved. 引入半范数族P的S-最简形式和P-自反局部凸空间(X;TP)的概念;证明了半范数族P和它的每一个S-最简形式都生成X上相同的局部凸拓扑.
- By using the semigroup of bounded linear operator,a new locally convex vector topological is introduced,and some propositions of it are given. 利用有界线性算子半群;引入了一新的局部凸向量拓扑;并对其基本性质进行了讨论.
- By using the C-semigroup of bounded linear operator, a new locally convex vector topological is introduced, and some propositions of it are given. 摘要利用C-半群的概念，引入一新的局部凸向量拓扑，并对其基本性质以及在新的局部凸线性拓扑意义下C-半群的性质进行初步研究。
- In the case of K=1,the results in this section included all results of strong convexity and strong smoothness in locally convex spaces. 本章中得到的结果在k = 1的情形下完全包含了关于局部凸空间一致凸与一致光滑的全部结果。
- By using the C-semigroup of bounded linear operator and continuous linear functional, a new locally convex vector topological is introduced, some propositions of it are given. 摘要利用C-半群及连续线性泛函的概念，引入了一新的局部凸向量拓扑，并对其基本性质以及C-半群在新的局部凸线性拓扑意义下的性质进行了初步研究。
- A syndicate of local businessmen is bidding for the contract. 一个当地企业家的联合组织在向这一合同投标。
- My husband is a history teacher at the local school. 我丈夫是本地学校的一位历史教师。
