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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 space; topology; 수학
- 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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