在GCH之下Banach空间的拓扑同构

Topological Isomorphism of Banach Spaces under GCH

中文摘要:

      本文在广义连续统假设2^N_α=N_α+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 N_α(α is a limit ordinal), then they are topological isomorphic.