Integral Representation of Additive Operators with Respect to a Vector Measure and its Applications

DOI10.1002/MANA.19790870122zbMath0444.47049OpenAlexW1994383559MaRDI QIDQ3888027

Ulrich Scholer, Werner Fischer

Publication date: 1979

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19790870122

zbMATH Keywords

integral representationvector measurerepresentation theoryfunction spacesHammerstein operatorUrysohn operatororthogonally additive operatorsspace of measurable functionsquasicompleteCaratheodory-functionsfunction F-norm

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) Other nonlinear integral equations (45G10) Vector-valued set functions, measures and integrals (28B05) Locally convex Fréchet spaces and (DF)-spaces (46A04) Nonlinear operators and their properties (47H99)

Cites Work

• Integration with respect to vector measures
• Theorem of Bartle, Dunford, and Schwartz concerning vector measures
• Some Remarks on Infinite-Dimensional Nonlinear Control without Convexity
• Characterization of Non-Linear Transformations Possessing Kernels

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