Surjectivity, closed range, and Fredholmness of the composition and multiplication operators between possibly distinct Orlicz spaces

DOI10.1007/S00025-020-01224-1OpenAlexW3036898751MaRDI QIDQ777313

Tadeusz Chawziuk, Henryk Hudzik, Yousef Estaremi

Publication date: 7 July 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01224-1

zbMATH Keywords

Lebesgue spaceOrlicz spaceFredholm operatorsmultiplication operatorRadon-Nikodym derivativecomposition operatorMusielak-Orlicz spaceclosed range operatorscontinuous operatorsmeasurable transformationsurjective operators

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) (Semi-) Fredholm operators; index theories (47A53) Linear operators on function spaces (general) (47B38) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear composition operators (47B33)

Related Items (2)

Unbounded weighted conditional type operators on Orlicz spaces ⋮ Multiplication operators in BV spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orlicz spaces and modular spaces
• Basic properties of multiplication and composition operators between distinct Orlicz spaces
• Fredholm weighted composition operators
• On non-effective weights in Orlicz spaces
• On modular spaces
• On equivalence of modular function spaces
• Composition operators in Orlicz spaces
• Multiplication operators between Orlicz spaces
• Composition and multiplication operators between Orlicz function spaces
• Composition operators on Orlicz spaces

This page was built for publication: Surjectivity, closed range, and Fredholmness of the composition and multiplication operators between possibly distinct Orlicz spaces