On the latticity of projection and antiprojection sets in Orlicz-Musielak spaces

DOI10.1007/S10474-007-7014-5zbMath1212.41089OpenAlexW2070545075MaRDI QIDQ949830

Bartosz Micherda

Publication date: 21 October 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-7014-5

zbMATH Keywords

antiprojection setlatticially closed setOrlicz-Musielak spaceprojection set

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) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (1)

A new characterization of convex φ-functions with a parameter

Cites Work

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• Orlicz spaces and modular spaces
• Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation
• A characterization of Orlicz spaces isometric to \(L_p\)-spaces
• On the property of four elements in modular spaces
• On some proximinal subspaces of modular spaces
• Best approximants in modular function spaces
• The properties of four elements in Orlicz-Musielak spaces
• Best approximants in L ? -spaces
• A Characterization of Best Φ-Approximants
• Inequalities related to isotonicity of projection and antiprojection operators

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