Embedding Orlicz Sequence Spaces into $C(\alpha)$

Denny H. Leung

Embedding Orlicz Sequence Spaces into $C(\alpha)$

泛函分析 2008-02-03 v1

作者: Denny H. Leung

摘要

Let $M$ be a non-degenerate Orlicz function such that there exist $\ep > 0$ and $0 < s < 1$ with $\su M(\ep s^i)/M(s^i) < \infty$ . It is shown that the Orlicz sequence space $h_M$ is isomorphic to a subspace of $C(\om^\om)$ . It is also shown that for any non-degenerate Orlicz function $M$ , $h_M$ does not embed into $C(\al)$ for any $\al < \om^\om$ .

关键词

orlicz spaces metric embeddings

引用

@article{arxiv.math/9402208,
  title  = {Embedding Orlicz Sequence Spaces into $C(\alpha)$},
  author = {Denny H. Leung},
  journal= {arXiv preprint arXiv:math/9402208},
  year   = {2008}
}

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