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Normed Space에서 Topology들의 비교

Title
Normed Space에서 Topology들의 비교
Authors
李聖信.
Issue Date
1968
Department/Major
대학원 수학과
Keywords
Normed spacetopology수학
Publisher
이화여자대학교 대학원
Degree
Master
Abstract
A normed space is a metric space, and, as such, it is a topological space. The metric topology(or norm topology) is often called the strong topology. Another topology, called the weak topology, plays an important role in the theory of normed spaces. If more than one topology is considered, then the relations of the topologies to one another must be clarified. In this paper we clarify the relations of following properties; finite dimensionality, closure, convergence, compact.
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일반대학원 > 수학과 > Theses_Master
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