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An elementary proof of Douglas' theorem on contractive projections on \(L_ 1\)-spaces

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Publication:1310397
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DOI10.1006/jmaa.1993.1284zbMath0801.46025OpenAlexW1974350731MaRDI QIDQ1310397

Yuri A. Abramovich, Owen Burkinshaw, Charalambos D. Aliprantis

Publication date: 24 November 1994

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1993.1284


zbMATH Keywords

contractive projections on \(L_ 1\)-spacesDouglas' theorem


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 (7)

An Andô-Douglas type theorem in Riesz spaces with a conditional expectation ⋮ Martingales in Banach lattices ⋮ Unnamed Item ⋮ Model-theoretic independence in the Banach lattices \(L_{p}(\mu)\) ⋮ Additive portfolio improvement and utility-efficient payoffs ⋮ Andô-Douglas type characterization of optional projections and predictable projections ⋮ Ranges of positive contractive projections in Nakano spaces




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