Multiplication operators in Köthe-Bochner spaces

DOI10.1016/j.jmaa.2010.07.038zbMath1206.47026OpenAlexW1982554746MaRDI QIDQ710939

Enrique Alfonso Sánchez-Pérez, José Rodríguez, Jose M. Calabuig

Publication date: 22 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.07.038

zbMATH Keywords

multiplication operatorLebesgue-Bochner spaceKöthe-Bochner spacePettis integrable functionPettis norm

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) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Linear operators on function spaces (general) (47B38)

Related Items (4)

Dual of Köthe-Bochner spaces and Radon-Nikodým property ⋮ The Kalton and Rosenthal type decomposition of operators in Köthe-Bochner spaces ⋮ Linear and continuous operators on Köthe–Bochner spaces ⋮ Multiplication operators on vector-valued function spaces

Cites Work

• Properties of representations of operators acting between spaces of vector-valued functions
• Local operators and forms
• Examples of orthomorphisms
• The generalized McShane integral
• The Birkhoff integral and the property of Bourgain
• Pettis integral and measure theory
• An equivalent definition of the vector-valued McShane integral by means of partitions of unity
• Biorthogonal systems in Banach spaces
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