The Kalton and Rosenthal type decomposition of operators in Köthe-Bochner spaces

DOI10.1016/J.JMAA.2021.125142zbMath1496.47065OpenAlexW3137987711MaRDI QIDQ2020479

Pheodor A. Sukochev, M. A. Pliev

Publication date: 23 April 2021

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.2021.125142

zbMATH Keywords

Köthe-Bochner spacenarrow operatordisjointness preserving operatordominated operatordiffuse operatorKalton-Rosenthal decomposition

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) Banach lattices (46B42) Linear operators on function spaces (general) (47B38) Linear operators on ordered spaces (47B60) Positive linear operators and order-bounded operators (47B65)

Related Items (6)

Operators taking values in Lebesgue-Bochner spaces ⋮ (Strongly-)Dunford-Pettis operators and narrow operators ⋮ Partial integral operators on Banach-Kantorovich spaces ⋮ Narrow operators on tensor products of Köthe spaces ⋮ Representation theorems for regular operators ⋮ Narrow operators on \(C\)-complete lattice-normed spaces

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