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- 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.
- 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 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。
- 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.
- 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。
- 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。
- 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。
- 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。
- locally convex linear topological space 局部凸线性拓扑空间
- The Model-matching Problem in Locally Convex Space 局部凸空间中的模型匹配问题
- Denting Points in Locally Convex Spaces 局部凸空间中的可凹点
- dual metric locally convex space 对偶度量局部凸空间
- Uniform Smoothness of Locally Convex Spaces 局部凸空间的一致光滑性
- The Width in the Locally Convex Space 局部凸空间中的宽度
- ultrabornological locally convex space 超有界型局部凸空间
- quasi-complete locally convex space 拟完备局部凸空间
