A Radon-Nikodym type theorem for functionals

DOI10.1016/0022-1236(76)90052-5zbMath0351.46019OpenAlexW2083949488MaRDI QIDQ1235367

Victor J. Mizel, Morel M. Marcus

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0022-1236(76)90052-5

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) Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Duality and reflexivity in normed linear and Banach spaces (46B10) Abstract differentiation theory, differentiation of set functions (28A15)

Related Items

Local functionals on \(C_\infty (G)\) and probability ⋮ Local functionals on \(C_\infty\)(G) and probability ⋮ Extension theorems of Hahn-Banach type for nonlinear disjointly additive functionals and operators in Lebesgue spaces

Cites Work

• The Radon-Nikodym theorem for Banach space valued measures
• Representation Theorems for Nonlinear Disjointly Additive Functionals and Operators on Sobolev Spaces
• On a Theorem of Lyapunov
• Characterization of Non-Linear Transformations Possessing Kernels
• Representation of Vector Valued Nonlinear Functions
• The Range of Certain Vector Integrals
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item