On multipliers and \(L\)- and \(M\)-projections in Banach lattices and Köthe function spaces

DOI10.1006/jmaa.1997.5197zbMath0892.46022OpenAlexW1996980974MaRDI QIDQ1353543

Pei-Kee Lin, Drewnowski, Lech, Anna Kaminska

Publication date: 3 August 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5197

zbMATH Keywords

Banach latticesmultipliersOrlicz spacesmultiplication operatorKöthe function spaces\(L\)-projection\(M\)-projectionband projectionsextreme point of the closed unit ballrearrangement invariant Köthe 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) Banach lattices (46B42)

Related Items (3)

Multiplication operators in BV spaces ⋮ Multiplication operator on Köthe spaces: measure of non-compactness and closed range ⋮ A representation theorem for maxitive measures

Cites Work

• \(M\)-ideals in Banach spaces and Banach algebras
• Orlicz spaces and modular spaces
• M-structure and the Banach-Stone theorem
• Banach lattices
• Strictly and uniformly monotone Musielak-Orlicz spaces and applications to best approximation
• Examples of orthomorphisms
• \(L^p\)-structure in real Banach spaces
• On binary-type approximations in vector lattices
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