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.


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