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- This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence. 摘要討論了線性拓撲空間上廣義凸函數中的擬凸與偽凸之間的關係,並給出它們之間的一些等價條件。
- locally convex linear topological space 局部凸線性拓撲空間
- functional dimension of linear topological space 泛函維數
- The vector extreme problems with the set constraint in the ordered linear topological spaces are studied. The necessary and sufficient optimality conditions are established. 在序線性拓撲空間里研究了含有集約束向量極值問題的最優性條件;並建立了充分性和必要性條件.
- In this paper, we obtain some theorems of the alternative for nearly convexlike and nearly subconvexlike set-valued maps in linear topological spaces were obtained by the authors. 在線性拓撲空間中,得到若干個近類凸、近次類凸集值映射下的擇一性定理。
- Abstract: The vector extreme problems with the set constraint in the ordered linear topological spaces are studied.The necessary and sufficient optimality conditions are established. 摘 要: 在序線性拓撲空間里研究了含有集約束向量極值問題的最優性條件;並建立了充分性和必要性條件.
- reflexive linear topological spaces 反射拓撲線性空間
- On Compact Set of Linear Topological Spaces 拓撲線性空間中的緊集
- LOCALLY BOUNDED LINEAR TOPOLOGICAL SPACES ?局部有界的線性拓?淇臻g
- The Equivalent Condition of Several Kinds of Generalized Convex Function in Linear Topological Space 線性拓撲空間上幾種廣義凸函數的等價條件
- THEOREMS CONCERNING THE CONTINUITY OF LINEAR OPERATORS IN LOCALLY CONVEX LINEAR TOPOLOGICAL SPACE 關於局部凸線性拓撲空間線性運算元的連續性定理
- Introduction to Linear Topology Space and Its Applications 線性拓撲空間引論及其應用
- The Resoance Theorem for Two Families of Operators in Linear Topological Spaces 線性拓撲空間中兩類運算元族的共鳴定理
- The method herein used is of creativeness.The conclusion reached is also of real plenitude to the theoretical basis about topological space. 所採用的方法具有一定的創新性,所得結論豐富了拓撲空間的理論基礎。
- linear topological space 線性拓撲空間
- 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是實線性空間;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.
- Let X be a real linear spaces, Pa family of separated seminorms on X ,(X,T_P) a locallyconvex space generated by P,(X,P) a dual. 設X是一個實線性空間,P是X上的一可分離的半范數族,(X,T_P)表示由P生成的局部凸空間。 (X,P)為一個偶對。
- Abstract : In this paper, we show that the isometry between the unit spheres of certain normed space and its dual space can be extended to a real linear isometry on the whole space. 摘要 : 本文證明了在一定條件下賦范線性空間與其共軛空間的單位球面之間的等距運算元可以延拓為全空間的實線性等距運算元。
- There is a simple way of associating a topological space with a graph. 有一種把一個拓撲空間同一個圖聯繫起來的簡單的方式。
- Defines the bound operation differ from the thesis [5] and applies the method to build up the topological space. 本文定義了不同於文[5]的邊界運算,並應用這種方法建立了拓撲空間。