Completely continuous multilinear mappings on \(L_1\)

DOI10.1090/BPROC/213zbMATH Open1544.46038MaRDI QIDQ6550280

Raffaella Cilia, Joaquín M. Gutiérrez

Publication date: 5 June 2024

Published in: (Search for Journal in Brave)

zbMATH Keywords

polymeasures\(L^1\) spacescompletely continuous multilinear mappingsweakly uniformly continuous mappings on bounded sets

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) (Spaces of) multilinear mappings, polynomials (46G25) Multilinear and polynomial operators (47H60)

Cites Work

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• Weakly continuous mappings on Banach spaces
• Dunford-Pettis operators on \(L^ 1\) and the Radon-Nikodym property
• Compactness and collective compactness in spaces of compact operators
• Multilinear operators on spaces of continuous functions
• Weakly continuous mappings on Banach spaces with the Dunford-Pettis property
• Point-Wise Compact Subsets of the First Baire Class
• Polynomial approximation of differentiable functions on Banach spaces.
• On integration in Banach spaces, VIII. Polymeasures
• Riesz-representable multilinear mappings

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