Domination of operators on function spaces

DOI10.1017/S0305004108001734zbMath1176.47027OpenAlexW2162350574MaRDI QIDQ3598112

Andreas Defant, Enrique Alfonso Sánchez-Pérez

Publication date: 30 January 2009

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004108001734

zbMATH Keywords

linear operatorKöthe function spacesdomination theorems

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 function spaces (general) (47B38)

Related Items (9)

Multilinear variants of the Maurey factorization theorem ⋮ Factorization of Lipschitz operators on Banach function spaces ⋮ Factorization through Lorentz spaces for operators acting in Banach function spaces ⋮ Factorization of operators through Orlicz spaces ⋮ Factorization theorems for multiplication operators on Banach function spaces ⋮ FACTORIZATION OF OPERATORS THROUGH SUBSPACES OF -SPACES ⋮ An extension of the Maurey Factorization Theorem ⋮ Absolutely \((q, 1)\)-summing operators acting in \(C(K)\)-spaces and the weighted Orlicz property for Banach spaces ⋮ The weak topology on q-convex Banach function spaces

Cites Work

• Set-functions and factorization
• Factorization of operators through \(L_{p\infty}\) or \(L_{p1}\) and non- commutative generalizations
• Maurey--Rosenthal factorization of positive operators and convexity
• On subspaces of L\(^p\)
• Variants of the Maurey-Rosenthal theorem for quasi Köthe function spaces

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