局部凸空间
- Locally convex space;【数】locally convex [topological linear] space
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局部凸空间上弱可积C半群理论
Weakly integrable c & semi Group s on Locally Convex Spaces
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一类特殊的Fuzzy局部凸空间
A Specific Locally Convex Fuzzy Space
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局部凸空间的k一致圆形性
K-uniformly round property on a locally convex space
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局部凸空间中Fourier变换的同构
Isomorphism of Fourier Transformation in Locally Convex Spaces
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局部凸空间X的强对偶X~可距离化的充要条件
Necessary and Sufficient Conditions of Metrization for Strong Dual Space X ~ of Locally Convex Space X
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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。
The seminorm family P and its every S-simplest form generate the same locally convex separated topology on X are proved .
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局部凸空间中Cauchy初值问题解的存在性
Existence of solutions to Cauchy initial problem in locally convex spaces
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设(E,t)是局部凸空间诱导序列(En,tn)n∈N的诱导极限。
Let ( E , t ) be the inductive limit of an inductive sequence ( En , tn ) n ∈ N of locally convex spaces .
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局部凸空间中集值K映像的Schaefer定理
The Schaefer theorem for set - valued K mapping in locally convex space
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非局部凸空间的Hahn-Banach定理及Banach包络
Hahn-Banach Extension Property and Banach Envelope of Non-locally Convex Spaces
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特别地,我们证明了下述结论:设E、F为局部凸空间且B:E×F→K为B&亚连续双线性泛函。
Particularly , we prove the following result : Let E and F be locally conves spaces and B : E × F → K be a B - hypocontinuous bilinear functional .
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局部凸空间上的Riesz算子
Riesz operator on Locally Convex Spaces
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本文将压缩映射原理推广到Hausdorff局部凸空间,证明了几个不动点定理。
In the paper we generalize contraction mapping principle to Hausdorff locally convex topological vector spaces , and prove some fixed point theorems .
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随着问题的深入,半群理论也在不断的发展,分别得到了:Banach空间上和局部凸空间上C0半群,n次积分半群以及C半群等理论。
With the further process of the problems , semigroup theory is also developed gradually , we have already known : C_0 semigroups , n-times integrated semigroups and C semigroups on Banach spaces and on locally convex spaces .
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作为应用,给出了Hausdorff拓扑向量空间中关于nuclear锥的有效点的存在结果,对原有的局部凸空间中的相应结果做了一个推广。
As an application , an existence result of efficient point for the nuclear cone in Hausdorff topological vector space is investigated , which is a generalization of the result in locally convex space .
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设X是局部凸空间E的仿紧凸子集,F:X→2X是集值映象,φ:X×X→R是实泛函。
Let X be a paracompact convex subset of a locally convex space E , F : X → 2 X be a set-valued mapping and φ: X × X → R be a real function .
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局部凸空间中Ptak闭图象定理的推广
A generalization of ptak closed graph theorem in locally convex space
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将Hardy空间中的模型匹配误差与最优解推广到了局部凸空间,得到了局部凸空间中的模型匹配误差与最优解。
The model matching error and the optimal solution in the Hardy space are extended to the locally convex space , and the model matching error and the optimal solution in the locally convex space are achieved .
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某种局部凸空间上的Bishop-Phelps定理
The Bishop-Phelps Theorem in some Kind of Locally Convex Spaces
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本文推广了文献中的Mazur定理,在桶空间中得到了局部凸空间中弱收敛网的几个性质。
In this paper , the Mazur theorem on locally convex space is given , and some properties of weak convergence net in barrel are given too .
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本文推广了Lebesgue积分理论和Bochner积分理论:从Banach空间到拟完备的局部凸空间,从可测函数到拟稳定函数.函数的拟稳定性是必要且充分的。
In this paper the Lebesgue integration theory and the Bochner integration theory are extended from Banach spaces to quasi-complete and locally convex spaces and from measurable functions to quasi-stable functions . The quasi-stability of functions is necessary and sufficient .
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本文研究了局部凸空间上的r-凸映射所确定的Farkas集的r-凸性质,及其与空间原点的连续分离性,得到了一类与r-凸映射有关的极值问题有解的充要条件。
In this paper , the r-convexity of Farkas set of some two r-convex mappings on a locally convex toplogical space , is studied . And the property of continuously spliting between original point and the Farkas set is also discussed .
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本文给出了局部凸空间中一个闭图象定理,它是文〔1〕、〔2〕和〔3〕中ptak闭图象定理的推广。
In this paper , We give a closed graph theorem in locally convex space , which is a generalization of the corresponding ptak closed graph theorem of [ 1 ] , [ 2 ] and [ 3 ] .
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反映半范数族与局部凸空间关系的一个定理
A Theorem Showing the Relation between seminorm and Local convex Space
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局部凸空间中的不动点指数和不动点定理
Fixed Point Index and Fixed Point Theorems in Local Convex Space
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关于局部凸空间值函数的抽象积分
On Abstract Integral of Function with Values in Locally Convex Space
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局部凸空间上的可分解算子及其对偶理论
Decomposable Operators on a locally convex space and their duality theory
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局部凸空间的一致极凸性与一致极光滑性
Uniformly Extreme Convexity and Uniformly Extreme Smoothness in Locally Convex Spaces
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关于G^ateaux可微局部凸空间的乘积问题
On the Product of G ^ ateaux Differentiability Locally Convex Spaces
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局部凸空间中多值单调算子的隐补问题
Implicit Complementarity Problems for Multivalued Monotone Operator in Locally Convex Spaces