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。
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.
表示出了一类赋准范空间的随机对偶空间，并证明这类赋准范空间之间，几乎处处有界线性算子所组成空间的完备性。
The random dual Spaces of a class of quasi-normed Spaces is given. The completeness of the Spaces having bounded operators all most everywhere has also been proved.
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