Conditional weak compactness in vector-valued function spaces

DOI10.1090/S0002-9939-01-06064-6zbMath0979.46023MaRDI QIDQ2723491

Marian Nowak

Publication date: 5 July 2001

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

zbMATH Keywords

strongly measurable functionsOrlicz-Bochner spacesKöthe dual spacescharacterization of compactness

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) Compactness in Banach (or normed) spaces (46B50)

Related Items (1)

Convergence theorems for Pettis integrable functions and regular methods of summability

Cites Work

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• Uniform differentiability, uniform absolute continuity and the Vitali- Hahn-Saks theorem
• On the Orlicz spaces of vector functions
• Banach lattices
• Order continuous seminorms and weak compactness in Orlicz spaces
• A Characterization of Banach Spaces Containing l ¹
• Weak precompactness, strong boundedness, and weak complete continuity
• On compactness in \(L_p(\mu,X)\) in the weak topology and in the topology \(\sigma(L_p(\mu,X),L_q(\mu,X'))\)

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