Smooth, very smooth and strongly smooth points in Musielak-Orlicz sequence spaces

DOI10.1017/S0004972700019523zbMath0987.46004MaRDI QIDQ2730744

Ting-Fu Wang, Shurong Bian, Henryk Hudzik

Publication date: 18 June 2002

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

modular functionMusielak-Orlicz spaceMusielak-Orlicz functionOrlicz functionsMusielak-Orlicz sequence spacestrongly smooth pointvery smooth point

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Sequence spaces (including Köthe sequence spaces) (46A45) Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Related Items (7)

One-complemented subspaces of Musiełak-Orlicz sequence spaces ⋮ On the points of local uniform rotundity and weak local uniform rotundity in Musielak-Orlicz sequence spaces equipped with the Orlicz norm ⋮ The positive aspects of smoothness in Banach lattices ⋮ Smooth, strongly smooth and very smooth points of Orlicz-Bochner sequence spaces endowed with the Luxemburg norm ⋮ Basic topological and geometric properties of Orlicz spaces over an arbitrary set of atoms ⋮ Optimal and one-complemented subspaces ⋮ Uniform Gateaux differentiability and weak uniform rotundity in Musielak-Orlicz function spaces of Bochner type equipped with the Luxemburg norm

Cites Work

• Unnamed Item
• Unnamed Item
• Orlicz spaces and modular spaces
• Geometry of Banach spaces. Selected topics
• Smooth Points of ORLICZ Spaces Equipped with LUXEMBURG Norm

This page was built for publication: Smooth, very smooth and strongly smooth points in Musielak-Orlicz sequence spaces