Chen, Shutao 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. Cited in 3 ReviewsCited in 157 Documents 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 Keywords:Orlicz spaces; rotundity; normal structure; Musielak-Orlicz spaces PDFBibTeX XMLCite \textit{S. Chen}, Geometry of Orlicz spaces. Warsaw: Polish Academy of Sciences (1996; Zbl 1089.46500)