A strict dual representation for \(L_ 1(\mu{},X)\)

DOI10.1016/0022-247X(91)90032-UzbMath0736.46027MaRDI QIDQ1173801

Robert F. Wheeler, Mark E. Gruenwald

Publication date: 25 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

strict topologiesequicontinuousspace of Bochner integrable functionsdifferentiability criterionStone space of the measure algebrastrict dual representation for \(L_ 1\)

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) Saks spaces and their duals (strict topologies, mixed topologies, two-norm spaces, co-Saks spaces, etc.) (46A70)

Related Items (2)

Radon-Nikodym property ⋮ Equicontinuous and relatively weakly compact subsets of the space of Bochner integrable functions \(L_ 1(\mu,X)\)

Cites Work

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• Bounded continuous functions on a locally compact space
• Equicontinuous and relatively weakly compact subsets of the space of Bochner integrable functions \(L_ 1(\mu,X)\)
• On strongly WCG Banach spaces
• Geometric aspects of convex sets with the Radon-Nikodym property
• Bounded continuous vector-valued functions on a locally compact space
• Strict Topologies for Vector-Valued Functions*: Corrigendum
• Produits tensoriels topologiques et espaces nucléaires

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