Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm

DOI10.4064/CM-65-2-157-164zbMath0853.46025OpenAlexW1471867621MaRDI QIDQ4325070

Zenon Zbąszyniak, Henryk Hudzik

Publication date: 16 January 1997

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/210210

zbMATH Keywords

Musielak-Orlicz spacesmooth Banach spacesupport functionalpoint of smoothness

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) Sequence spaces (including Köthe sequence spaces) (46A45) Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Related Items (5)

Smooth, strongly smooth and very smooth points of Orlicz-Bochner sequence spaces endowed with the Luxemburg norm ⋮ 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 ⋮ Basic topological and geometric properties of Orlicz spaces over an arbitrary set of atoms ⋮ Uniform Gateaux differentiability and weak uniform rotundity in Musielak-Orlicz function spaces of Bochner type equipped with the Luxemburg norm

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