The Radon-Nikodym theorem for Lebesgue-Bochner function spaces

DOI10.1016/0022-1236(77)90058-1zbMath0341.46019OpenAlexW2083947683MaRDI QIDQ1231650

Kondagunta Sundaresan

Publication date: 1977

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(77)90058-1

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) 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 measures and integration (46G10)

Related Items (8)

Rotundity in Lebesgue-Bochner Function Spaces ⋮ Continuity of operators in spaces of vector functions, with applications to the theory of bases ⋮ A description of Banach space-valued Orlicz hearts ⋮ Radon-Nikodym property in Banach spaces of measurable vector-functions ⋮ Non \(p\)-norm approximated groups ⋮ Banach sequence spaces ⋮ Radon-Nikodym property for vectorvalued integrable functions ⋮ On almost Chebyshev subspaces

Cites Work

• Dentability and extreme points in Banach spaces
• On bases and unconditional convergence of series in Banach spaces
• On Banach spaces containing $c_{0}$. A supplement to the paper by J.Hoffman-Jørgensen "Sums of independent Banach space valued random variables"
• A Remarkable Series of Orthogonal Functions (I)
• The Radon-Nikodym Theorem for the Bochner Integral
• Sums of independent Banach space valued random variables
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