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- Every weakly countably compact closed convex set in a locally convex space has the quasi-weak drop property. 局部凸空間中每個(gè)弱可數緊閉凸集具擬弱滴狀性質(zhì).
- In this paper we extend the width problems in normed space to locally convex space and some results are given. 本文將賦范空間中的寬度推廣到了局部凸空間;并得到了一些相應的結論.
- The seminorm family P and its every S-simplest form generate the same locally convex separated topology on X are proved. 引入半范數族P的S-最簡(jiǎn)形式和P-自反局部凸空間(X;TP)的概念;證明了半范數族P和它的每一個(gè)S-最簡(jiǎn)形式都生成X上相同的局部凸拓撲.
- By using the semigroup of bounded linear operator,a new locally convex vector topological is introduced,and some propositions of it are given. 利用有界線(xiàn)性算子半群;引入了一新的局部凸向量拓撲;并對其基本性質(zhì)進(jìn)行了討論.
- 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撲，并對其基本性質(zhì)以及在新的局部凸線(xiàn)性拓撲意義下C-半群的性質(zhì)進(jìn)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. 在局部凸線(xiàn)性拓撲向量空間討論了一種錐凸集值映射的錐次微分的存在性問(wèn)題;證明了幾個(gè)錐次微分的存在定理.
- 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. 在局部凸線(xiàn)性拓撲向量空間討論了一種錐凸集值映射的錐次微分的存在性問(wèn)題;證明了幾個(gè)錐次微分的存在定理.
- 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-半群及連續線(xiàn)性泛函的概念，引入了一新的局部凸向量拓撲，并對其基本性質(zhì)以及C-半群在新的局部凸線(xiàn)性拓撲意義下的性質(zhì)進(jìn)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. 本文指出了賦范線(xiàn)性空間上的一些局部凸拓撲的完備性與它的單位球上相應的誘導拓撲的完備性之間的關(guān)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. 設X是實(shí)線(xiàn)性空間;P是X上的一族分離半范數且TP是X上由P生成的局部凸分離拓撲.
- 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. 摘要本文用某種同倫方法，借助于一些適當的變換，討論了有序的局部凸拓撲線(xiàn)性空間中集值凝聚映象方程的正解問(wèn)題。
- In the case of K=1,the results in this section included all results of strong convexity and strong smoothness in locally convex spaces. 本章中得到的結果在k = 1的情形下完全包含了關(guān)于局部凸空間一致凸與一致光滑的全部結果。
- locally convex linear topological space 局部凸線(xiàn)性拓撲空間
- The Model-matching Problem in Locally Convex Space 局部凸空間中的模型匹配問(wèn)題
- Denting Points in Locally Convex Spaces 局部凸空間中的可凹點(diǎn)
- dual metric locally convex space 對偶度量局部凸空間
- Uniform Smoothness of Locally Convex Spaces 局部凸空間的一致光滑性
- The Width in the Locally Convex Space 局部凸空間中的寬度
- ultrabornological locally convex space 超有界型局部凸空間
- quasi-complete locally convex space 擬完備局部凸空間
