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弱完备性 的英文翻译、例句

弱完备性

词组短语
weak completeness
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By using these convergence theorems,it presents the Silverman-To-eplitz regular theorem and Samaratunga-Sember theorem on the Abelian topologicalgroups,the Vitali-Hahn-Saks theorem on algebras and the weak sequentially completenesstheorem of 〓-dual spaces of sequence spaces,etc.

这是抽象分析中的两个基本定理。作为应用,给出了Abelian拓扑群上的Silverman-Toeplitz正则性定理、Samaratunga-Sember定理、代数上的Vitali-Hahn-Saks定理,以及序列空间的〓对偶空间之弱序列完备性定理等。

By using generalized-weak commutativity mapping, the existence of common fixed point for this class of contractive type mappings is studied in complete metric space, a common fixed point theorem for contractive type mappings is obtained, which largely improve and extend the corresponding results in some references.

通过使用映象的广义弱交换条件,在完备度量空间中研究了更为广泛的一类压缩型映象的公共不动点的存在性,给出了一个新的公共不动点定理,从而在很大程度上改进和推广了现有文献中的一些结果。

It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.

主要研究了〓数乘收敛级数的对偶不变性,〓数乘收敛级数的全程不变性,有基空间中的〓数乘收敛级数,无穷矩阵拓扑代数〓中的紧集,〓在不同拓扑下具有相同紧集的刻划,〓的弱序列完备性,Schur—矩阵的刻划,p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。

Then,it notices that all infi-nite matrix operators between the sequence spaces with the WGHP may form a topologicalalgebra.It also studies the weak sequentially completeness of this class of topological al-gebras and some other basic properties.

其次发现了具有WGHP序列空间上无穷矩阵算子所成之拓扑代数,并研究了这类无穷矩阵拓扑代数的弱序列完备性等一些基本性质。

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weak complete space:弱完备空间

弱紧致性 weak compactness | 弱完备空间 weak complete space | 弱收敛 weak convergence

weak completeness:弱完备性

weak closure 弱闭包 | weak completeness 弱完备性 | weak continuity 弱连续性

weak closure:弱闭包

weak basis 弱基 | weak closure 弱闭包 | weak completeness 弱完备性

weak continuity:弱连续性

weak completeness 弱完备性 | weak continuity 弱连续性 | weak convergence 弱收敛