On Musileak-Orlicz spaces isometric to L2 or Loo
- Autores: Anna Kaminska
- Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 4-6, 1997, págs. 563-570
- Idioma: inglés
- Enlaces
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Resumen
It is proved that a Musielak-Orlicz space $L_\Phi$ of real valued functions which is isometric to a Hilbert space coincides with $L_2$ up to a weight, that is $\Phi(u,t)= c(t)u^2$. Moreover it is shown that any surjective isometry between $L_\Phi$ and $L_\infty$ is a weighted composition operator and a criterion for $L_\Phi$ to be isometric to $L_\infty$ is presented.
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