Weak compactness in spaces of Bochner integrable functions and the Radon- Nikodym property

DOI10.2140/PJM.1984.110.65zbMath0477.46041OpenAlexW2044971415MaRDI QIDQ1160863

Paulette Saab, Nassif Ghoussoub

Publication date: 1984

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1984.110.65

zbMATH Keywords

Radon-Nikodym propertyspaces of Bochner integrable functionsweakly compact subsetsuniformly integrable

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) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Compactness in topological linear spaces; angelic spaces, etc. (46A50)

Related Items (9)

Weak compactness in the space of vector-valued measures of bounded variation ⋮ Weakly compact subsets of \(L_ 1(\mu ,X)\) and \(bvca(\Sigma , X)\) ⋮ The Mazur property and completeness in the space of Bochner-integrable functions L₁(μ, X) ⋮ Weak compactness in Köthe-Bochner spaces and Orlicz-Bochner spaces ⋮ On various modes of scalar convergence in \(L_0({\mathfrak X})\) ⋮ Weak Compactness Criteria for Set Valued Integrals and Radon Nikodym Theorem for Vector Valued Multimeasures ⋮ Weak precompactness, strong boundedness, and weak complete continuity ⋮ On some subsets of $L_1(\mu,E)$ ⋮ Characterization of some classes of operators on spaces of vector-valued continuous functions

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