Representation theorems of the dual of Lebesgue-Bochner function spaces

DOI10.1007/BF02897846zbMath0959.46024OpenAlexW2041927426MaRDI QIDQ1585590

Tie-Xin Guo

Publication date: 16 November 2000

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02897846

zbMATH Keywords

Radon-Nikodým propertyLebesgue-Bochner function spacesrepresentation of the dual spaces

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 set functions, measures and integrals (28B05) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

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Cites Work

• Radon-Nikodým property of conjugate Banach spaces and \(w^*\)-equivalence theorems of \(w^*-\mu\)-measurable functions
• Smoothness and duality in \(L_p(E, \mu)\)
• Extension theorems of continuous random linear operators on random domains
• Extremal structure of the unit ball of \(L^ p(\mu,X)\)
• On the lifting property. I
• Bounded Linear Operators on Banach Function Spaces of Vector-Valued Functions
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