Weak compactness in 𝐿¹(𝜇,𝑋)

DOI10.1090/S0002-9939-96-03336-9zbMath0865.46024OpenAlexW1613990094MaRDI QIDQ4714677

Santiago Díaz

Publication date: 7 November 1996

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03336-9

zbMATH Keywords

weak compactnessRadon-Nikodým propertyregular methods of summabilityweak conditional compactnessconvergence in the sense of CesàroLebesgue-Bochner integrable functions

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) Spaces of vector- and operator-valued functions (46E40) Classical Banach spaces in the general theory (46B25) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items

Köthe-Bochner spaces: general properties, Convergence theorems for Pettis integrable functions and regular methods of summability, Weighted composition operators on Hardy spaces, WEAK and NORM COMPACTNESS ON KÖTHE-BOCHNER FUNCTION SPACES

Cites Work

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• Infinite-dimensional extension of a theorem of Komlós
• An averaging result for \(l^ 1-\)sequences and applications to weakly conditionally compact sets in \(L^ 1\).
• Geometry of Banach spaces. Selected topics
• Weak Cauchy Sequences in L 1 (E)
• Weak Compactness in L 1 (μ, X)
• The Radon-Nikodym Property in Conjugate Banach Spaces
• L^p Spaces Generated by Certain Operator Valued Measures
• Weak Compactness in L 1 (μ, X)
• Reflexivity and summability, II
• A generalization of a problem of Steinhaus