Embedding Orlicz Sequence Spaces into $C(α)$

dc.creatorLeung, Denny H.
dc.date1994-02-11
dc.date.accessioned2026-07-07T09:15:03Z
dc.date.available2026-07-07T09:15:03Z
dc.descriptionLet $M$ 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 $\al < \om^\om$.
dc.identifierhttps://arxiv.org/abs/math/9402208
dc.identifierhttp://arxiv.org/abs/math/9402208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152893
dc.subjectFunctional Analysis
dc.subject46B
dc.titleEmbedding Orlicz Sequence Spaces into $C(α)$
dc.typetext

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