Summability properties for multiplication operators on Banach function spaces

DOI10.1007/s00020-010-1741-7zbMath1206.46032OpenAlexW1973526487MaRDI QIDQ989941

Enrique Alfonso Sánchez-Pérez, Olvido Delgado

Publication date: 23 August 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/handle//11441/103774

zbMATH Keywords

Köthe dualmultiplication operatorsBanach function spacesMaurey-Rosenthal theoremsummability properties

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 belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear operators on function spaces (general) (47B38)

Related Items (10)

Multiplication operators on non-commutative spaces ⋮ Product spaces generated by bilinear maps and duality ⋮ Factorization of Lipschitz operators on Banach function spaces ⋮ Strong extensions for \(q\)-summing operators acting in \(p\)-convex Banach function spaces for \(1 \leq p \leq q\) ⋮ Factorization theorems for multiplication operators on Banach function spaces ⋮ Multipliers for global Morrey spaces ⋮ Multipliers for the Calderón construction ⋮ Pointwise products of some Banach function spaces and factorization ⋮ Strong factorizations of operators with applications to Fourier and Cesàro transforms ⋮ Multipliers for local Morrey spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Products and factors of Banach function spaces
• A factorization theorem in Banach lattices and its application to Lorentz spaces
• Generalized perfect spaces
• On some Banach lattices
• Positive p-Summing Operators on L p -Spaces
• Intermediate spaces and interpolation, the complex method
• Variants of the Maurey-Rosenthal theorem for quasi Köthe function spaces

This page was built for publication: Summability properties for multiplication operators on Banach function spaces