Extension theorems for nonlinear disjointly additive functionals and operators on Lebesgue spaces, with applications

DOI10.1090/S0002-9904-1976-13982-1zbMath0336.46051OpenAlexW2071412390MaRDI QIDQ4104413

Morel M. Marcus, Victor J. Mizel

Publication date: 1976

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1976-13982-1

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) Abstract differentiation theory, differentiation of set functions (28A15) Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) (46G99)

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Cites Work

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• On a Theorem of Lyapunov
• Characterization of Non-Linear Transformations Possessing Kernels
• Representation of Vector Valued Nonlinear Functions
• On the product of vector measures