赋范超商空间的补全

S. Roy
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引用次数: 0

摘要

与本文提出超商结构概念的主要目的相一致,超商集的概念必然和本质上是开始的基础,随后在超向量空间上的范数辅助下形成这个空间上的范数。最后,给出了赋范超商空间为Banach空间的一个充分条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Completion of Normed Hyperquotient Spaces
In consonant with the prime object of this paper as to initiate the concept of hyperquotient structure, necessarily and essentially the notion of hyperquotient sets is the basic to begin with subsequently what comes as the formations of norm on this spaces with the assistance oered by the norm on hypervector spaces. In conclusion, an adequate condition for a normed hyperquotient space to be Banach space has been constituted by us.
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