On extreme points of Orlicz spaces with Orlicz norm

• Autores: Marek Wisla, Henryk Hudzik
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 44, Fasc. 1-3, 1993, págs. 135-146
• Idioma: inglés
• Enlaces
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• Resumen

  • In the paper we consider a class of Orlicz spaces equipped with the Orlicz norm over a non-negative, complete and $\sigma$-finite measure space $(T,\Sigma,\mu)$, which covers, among others, Orlicz spaces isomorphic to $L^\infty$ and the interpolation space $L^1+L^\infty$. We give some necessary conditions for a point $x$ from the unit sphere to be extreme. Applying this characterization, in the case of an atomless measure $\mu$, we find a description of the set of extreme points of $L^1+L^\infty$ which corresponds with the result obtained by R.Grza\'{s}lewicz and H.Schaefer [3] and H.Schaefer [13].

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