Strong extensions for \(q\)-summing operators acting in \(p\)-convex Banach function spaces for \(1 \leq p \leq q\)
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Publication:346430
DOI10.1007/S11117-016-0397-1zbMath1436.46032arXiv1506.09010OpenAlexW2260723571MaRDI QIDQ346430
Olvido Delgado, Enrique Alfonso Sánchez-Pérez
Publication date: 29 November 2016
Published in: Positivity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.09010
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Banach lattices (46B42) Linear operators on function spaces (general) (47B38)
Related Items (5)
Erratum to: ``Strong extensions for \(q\)-summing operators acting in \(p\)-convex Banach function spaces for \(1 \leq p \leq q\). Weak* compactness of the closed unit ball of a Köthe dual space ⋮ Pietsch-Maurey-Rosenthal factorization of summing multilinear operators ⋮ Optimal Hardy–Littlewood inequalities uniformly bounded by a universal constant ⋮ Kantorovich-Wright integration and representation of vector lattices ⋮ Integration for Positive Measures with Values in Quasi-Banach Lattices
Cites Work
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- Strongly embedded subspaces of \(p\)-convex Banach function spaces
- Factorization theorems for multiplication operators on Banach function spaces
- Factorizing operators on Banach function spaces through spaces of multiplication operators
- Optimal domain and integral extension of operators, acting in function spaces
- Summability properties for multiplication operators on Banach function spaces
- Maurey--Rosenthal factorization of positive operators and convexity
- Variants of the Maurey-Rosenthal theorem for quasi Köthe function spaces
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