Representation of Vector Valued Nonlinear Functions

DOI10.2307/1996001zbMath0235.46070OpenAlexW4251111964MaRDI QIDQ5644601

Kondagunta Sundaresan, Victor J. Mizel

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/1996001

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) Vector-valued measures and integration (46G10) Radon-Nikodým, Kre?n-Milman and related properties (46B22)

Related Items

Strongly additive transformations and integral representations with measures of nonlinear operators, Representation of additive functionals on vector-valued normed Köthe spaces, Kinematic theory of signature verification measurements, Integration theory for Hammerstein operators, On the work of Lech Drewnowski, Extension theorems for nonlinear disjointly additive functionals and operators on Lebesgue spaces, with applications, Smooth perturbations in non-reflexive Banach spaces, Time dependent perturbations and scattering of strongly continuous groups on Banach spaces, Representation of Set Valued Operators, Averaging operators and continuous projections on \(f\)-algebras, Representation of Hammerstein operators by Nemytskii measures, Extension theorems of Hahn-Banach type for nonlinear disjointly additive functionals and operators in Lebesgue spaces, Non-linear operators on sets of measures, A Radon-Nikodym type theorem for functionals, Nonlinear integration on measures, Nonlinear integration on \(L^p\)-spaces, Nemitsky operators on Sobolev spaces

Cites Work

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• Uniformly Convex Spaces
• Integration in a Convex Linear Topological Space
• Sur Le Théoréme De Lebesgue-Nikodym (V)