Basic topological and geometric properties of Orlicz spaces over an arbitrary set of atoms

DOI10.4171/ZAA/1363zbMath1170.46020MaRDI QIDQ957469

Lucjan Szymaszkiewicz, Henryk Hudzik

Publication date: 27 November 2008

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0232-2064&vol=27&iss=4&rank=3

zbMATH Keywords

extreme pointssmooth pointsquotient spacesOrlicz spaces over purely atomic arbitrary measure space

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach sequence spaces (46B45)

Related Items

Weakly compact sets and Riesz representation theorem in Musielak sequence spaces ⋮ Banach-Saks type and Gurariǐ modulus of convexity of some Banach sequence spaces

Cites Work

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• Orlicz spaces and modular spaces
• Smoothness in Musielak-Orlicz spaces equipped with the Orlicz norm
• Smooth, very smooth and strongly smooth points in Musielak-Orlicz sequence spaces
• Smooth Points of ORLICZ Spaces Equipped with LUXEMBURG Norm
• Extreme and Exposed Points in Orlicz Spaces
• Smooth points of Musielak-Orlicz sequence spaces equipped with the Luxemburg norm
• Amemiya norm equals Orlicz norm in general