The criteria for local uniform rotundity of Orlicz spaces

DOI10.4064/sm-79-3-201-215zbMath0573.46014OpenAlexW1120343609MaRDI QIDQ3692277

Anna Kaminska

Publication date: 1984

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/218600

zbMATH Keywords

conjugate functionLuxemburg normstrictly convexlocal uniform rotunditycondition \(\Delta _ 2\)purely atomic measuregeometric properties of Orlicz spaces

Mathematics Subject Classification ID

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

Related Items (15)

Uniform rotundity of Musielak-Orlicz sequence spaces ⋮ Denting points in Köthe-Bochner spaces ⋮ On some renorming problems ⋮ Some geometric properties of Lorentz-Orlicz spaces ⋮ Weak Uniform Rotundity of Orlicz Sequence Spaces ⋮ Sanov-type large deviations and conditional limit theorems for high-dimensional Orlicz balls ⋮ Locally uniform convexity in Musielak-Orlicz function spaces of Bochner type endowed with the Luxemburg norm ⋮ Nearly strict convexity in Musielak-Orlicz-Bochner function spaces ⋮ Unnamed Item ⋮ Non-commutative Orlicz spaces associated to a modular on \(\tau\)-measurable operators ⋮ On Some Convexity Properties of Orlicz Sequence Spaces Equipped with the Luxemburg Norm ⋮ The maximum entropy principle and volumetric properties of Orlicz balls ⋮ Monotonicity and rotundity properties in Banach lattices ⋮ The limit of best generalized peak norm approximations ⋮ Strongly extreme points in Köthe-Bochner spaces

This page was built for publication: The criteria for local uniform rotundity of Orlicz spaces