Extension theorems of Hahn-Banach type for nonlinear disjointly additive functionals and operators in Lebesgue spaces

DOI10.1016/0022-1236(77)90061-1zbMath0342.46021OpenAlexW2015459267MaRDI QIDQ1232064

Victor J. Mizel, Morel M. Marcus

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)90061-1

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Projective and injective objects in functional analysis (46M10) Vector-valued measures and integration (46G10) Duality theory for topological vector spaces (46A20) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (3)

Orthogonally Additive Operators on Vector Lattices ⋮ Dominated orthogonally additive operators in lattice-normed spaces ⋮ On orthogonally additive operators in Köthe-Bochner spaces

Cites Work

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• A Radon-Nikodym type theorem for functionals
• Representation Theorems for Nonlinear Disjointly Additive Functionals and Operators on Sobolev Spaces
• On a Theorem of Lyapunov
• Additive functionals on Orlicz spaces
• Characterization of Non-Linear Transformations Possessing Kernels
• Representation of Vector Valued Nonlinear Functions
• The Range of Certain Vector Integrals

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