FACTORIZATION OF OPERATORS THROUGH SUBSPACES OF -SPACES

DOI10.1017/S1446788716000513zbMath1386.46030OpenAlexW2556748162MaRDI QIDQ4593266

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

Publication date: 22 November 2017

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788716000513

zbMATH Keywords

vector measureBanach function spacecompact operatorfactorizationpositive operator\(L^1\)-space

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 defined by compactness properties (47B07) Vector-valued measures and integration (46G10) Positive linear operators and order-bounded operators (47B65)

Cites Work

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• Domination of operators on function spaces
• A Characterization of Banach Spaces Containing l ¹
• Compactness in L¹of a vector measure
• Variants of the Maurey-Rosenthal theorem for quasi Köthe function spaces

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