Approximation, complete continuity, and uniform measurability of Uryson operators on general measure spaces

DOI10.1016/S0362-546X(97)00595-6zbMath0931.47049OpenAlexW1969302882WikidataQ57363500 ScholiaQ57363500MaRDI QIDQ4259719

Martin Väth

Publication date: 30 August 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00595-6

zbMATH Keywords

Carathéodory functionsUryson integral operators

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Vector-valued set functions, measures and integrals (28B05)

Related Items (3)

Approximations of nonlinear integral functionals of entropy type ⋮ Compactness estimates for integral operators of vector functions with nonmeasurable kernels ⋮ Convergence theorems and measures of noncompactness for noncompact Urysohn operators in ideal spaces

Cites Work

• Compactness of integral operators in Banach function spaces
• A general theorem on continuity and compactness of the Uryson operator
• Ideal spaces
• Complete continuity of some nonlinear Volterra operator in Banach spaces
• Un teorema sulle funzioni continue rispetto ad una e misurabili rispetto ad un'altra variabile
• Implicit function theorem in topological spaces
• On Certain Questions in the Theory of Optimal Control
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