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Geometry of Orlicz spaces. (English) Zbl 1089.46500
Dissertationes Mathematicae 356. Warsaw: Polish Academy of Sciences. 204 p. (1996).
This extensive work studies geometric properties of Orlicz spaces such as rotundity, the $$\lambda$$-property, local uniform rotundity, normal structure, nonsquareness and related notions for both the Luxemburg and the Orlicz norm. Musielak-Orlicz spaces are considered as well.

##### MSC:
 46B20 Geometry and structure of normed linear spaces 46E30 Spaces of measurable functions ($$L^p$$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46B25 Classical Banach spaces in the general theory 46B45 Banach sequence spaces