| 关质钧.在GCH之下Banach空间的拓扑同构[J].数学研究及应用,1985,5(3):37~40 |
| 在GCH之下Banach空间的拓扑同构 |
| Topological Isomorphism of Banach Spaces under GCH |
| 投稿时间：1983-06-14 |
| DOI：10.3770/j.issn:1000-341X.1985.03.010 |
| 中文关键词: |
| 英文关键词: |
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| 中文摘要: |
| 本文在广义连续统假设2Nα=Nα+1(简记为GCH)下,给出Banach空间的一个拓扑同构定理。 |
| 英文摘要: |
| The paper gives a topologicaly, isomorphic theorem of Banach spaces under the generilized continuum hypothesis or GCH. The first part of theorem 1 is the main result which states GCH implies that if the Banach spaces have the same cardinal number Nα(α is a limit ordinal), then they are topological isomorphic. |
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