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Smooth points in Orlicz sequence spaces and geometry of the dual and the bidual of Orlicz spaces. (English) Zbl 0892.46021
Summary: Smooth points of Orlicz sequence spaces equipped with the Orlicz norm are characterized. Criteria for smoothness of $$h^\Phi_0$$ and $$\ell^\Phi_0$$ are deduced. Next, geometry of the dual and the bidual of Orlicz space for both (the Luxemburg and the Orlicz) norms is considered.

##### MSC:
 46E30 Spaces of measurable functions ($$L^p$$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46A45 Sequence spaces (including Köthe sequence spaces) 46B25 Classical Banach spaces in the general theory