Radon-Nikodym property in Banach spaces of measurable vector-functions

DOI10.1007/BF01142080zbMath0458.46011OpenAlexW1993851822MaRDI QIDQ1151556

A. V. Bukhvalov

Publication date: 1980

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01142080

zbMATH Keywords

Radon-Nikodym propertyBanach ideal spaceBanach spaces of measurable vector-functions

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) Banach lattices (46B42) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items (5)

Continuity of operators in spaces of vector functions, with applications to the theory of bases ⋮ Gâteaux or Fréchet differentiable norms in duals of complex interpolation spaces ⋮ Köthe-Bochner spaces: general properties ⋮ Radon--Nikodym property for the projective tensor product of Köthe function spaces ⋮ Spaces of measurable vector-functions not containing the space \(\ell^ 1\)

Cites Work

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• The Radon-Nikodym theorem for Lebesgue-Bochner function spaces
• On certain "weak" properties of vector-valued functions
• Examples of separable spaces which do not contain $l_{1}$ and whose duals are non-separable
• Extensions and Liftings of Positive Linear Mappings on Banach Lattices
• Martingale Convergence and the Radon-Nikodym Theorem in Banach Spaces.

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