Representation of additive functionals on vector-valued normed Köthe spaces

DOI10.2996/kmj/1138036062zbMath0431.46025OpenAlexW2042501415MaRDI QIDQ1138193

Fumio Hiai

Publication date: 1979

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036062

zbMATH Keywords

additive functionalsintegral representationsmeasurable set-valued functionsnormed Köthe spaces

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) 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) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (17)

Integral representation of local functionals ⋮ Weak lower semicontinuous envelope of functionals defined on a space of measures ⋮ Young measures generated by a class of integrands: A narrow epicontinuity and applications to homogenization. ⋮ Conditional expectation of integrands and random sets ⋮ Integral representation of nonconvex functionals defined on measures ⋮ \( \Gamma \)-compactness and \(\Gamma \)-stability of maximal monotone flows ⋮ Integral representation and relaxation of local functionals ⋮ Weakly convergent sequence coefficient in Köthe sequence spaces ⋮ Property \((H)\) in Köthe-Bochner spaces ⋮ A simplified approach to subjective expected utility ⋮ Relaxation for a class of nonconvex functionals defined on measures ⋮ On weak uniform normal structure in weighted Orlicz sequence spaces ⋮ Representation of Set Valued Operators ⋮ Local Minimizers of Integral Functionals are Global Minimizers ⋮ Contributions to the Theory of Set Valued Functions and Set Valued Measures ⋮ Representation of additive functionals on Musielak-Orlicz space of vector valued functions ⋮ On pareto minima of vector-valued integral functionals

Cites Work

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• Additive Functionals on L_p Spaces
• Additive functionals on Orlicz spaces
• Additive functionals on Orlicz spaces
• Characterization of Non-Linear Transformations Possessing Kernels
• Representation of Vector Valued Nonlinear Functions
• Bounded Linear Operators on Banach Function Spaces of Vector-Valued Functions
• Nonlinear integral operators on C(S,E)
• A representation for additive functionals on \(L^p\)-spaces, \(0<p<1\)
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