Représentations d'opérateurs à valeurs dans \(L^1(X,\Sigma,\mu)\)

DOI10.1007/BF01362310zbMath0395.46007MaRDI QIDQ1252990

Hicham Fakhoury

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163241

zbMATH Keywords

Representation TheoremA-Complemented SubspaceBounded Radon MeasureL1-SpaceMeasure SpaceRepresentable Operators

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear operators on function spaces (general) (47B38) Linear operators on ordered spaces (47B60) Spaces of linear operators; topological tensor products; approximation properties (46A32) Spaces of measures (46E27) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

Related Items

Operators taking values into Köthe-Bochner spaces, Rademacher bounded families of operators on 𝐿₁, On the Representation of Order Continuous Operators by Random Measures, Order-bounded operators in vector lattices and in spaces of measurable functions, The Complete Continuity Property in Bochner Function Spaces, Martingales, \(G_{delta}\)-embeddings and quotients of \(L_1\)., Decompositions of Banach Lattices into Direct Sums

Cites Work

• Disintegration of measures and the vector-valued Radon-Nikodym theorem
• Approximation from the space of compact operators and other M-ideals
• A Dunford-Pettis theorem for \(L^1/H^{\infty\perp}\)
• Theorems of Hardy and Paley for Vector-Valued Analytic Functions and Related Classes of Banach Spaces
• Measures on Topological Spaces
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