Duality of Banach function spaces and the Radon-Nikodym property

DOI10.1007/BF01949123zbMath0613.46033MaRDI QIDQ1819321

Hang-Chin Lai

Publication date: 1986

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

dual spaceBanach function spacesabsolutely continuous normAsplund spacemultiplier theoremsBochner integrableisometrically isomorphicunfriend setwide Radon Nikodym property

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) Multipliers for harmonic analysis in several variables (42B15) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (5)

Multipliers of certain vector valued function spaces ⋮ Multipliers and translation invariant operators ⋮ Multipliers in vector-valued function spaces under convolution ⋮ Characterization of multipliers on hypergroups ⋮ Moreau-Rockafellar type theorems for nonconvex and non-locally lipschitz integral functional onL^p(T,X)

Cites Work

• Unnamed Item
• On the Radon-Nikodym property in a class of locally convex spaces
• The duality between Asplund spaces and spaces with the Radon-Nikodym property
• Fréchet differentiability of convex functions
• Sur les espaces de Köthe
• Spaces of Functions with Values in a Banach Algebra
• Multipliers of Group Algebras of Vector-Valued Functions
• Representation theorems on Banach function spaces
• Bounded Linear Operators on Banach Function Spaces of Vector-Valued Functions

This page was built for publication: Duality of Banach function spaces and the Radon-Nikodym property