Weakly compact subsets of \(L_ 1(\mu ,X)\) and \(bvca(\Sigma , X)\)

DOI10.1007/BF02844822zbMath0849.46019OpenAlexW2602459512MaRDI QIDQ1344591

V. Pereyra

Publication date: 7 November 1996

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02844822

zbMATH Keywords

Radon Nikodým propertyweakly compact subsets

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) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Spaces of measures (46E27) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Cites Work

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• Compacité faible dans l'espace \(L^ 1_ E\) et dans l'espace des multifonctions intégralement bornées, et minimisation. (Weak compactness in the space \(L^ 1_ E\) and in the space of integrally bounded multifunctions, and minimization)
• Weak compactness in spaces of Bochner integrable functions and the Radon- Nikodym property
• The Radon-Nikodým property in ordered Banach spaces
• Ordered linear spaces
• The Sum of Two Radon-Nikodym-Sets Need Not be a Radon-Nikodym-Set
• Weak Compactness in L 1 (μ, X)

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