Sull'interpolazione di operatori nonlineari noncompatti in spazi di funzioni integrabili

DOI10.1007/BF02925235zbMath0694.47042MaRDI QIDQ3469787

Jürgen Appell

Publication date: 1988

Published in: Rendiconti del Seminario Matematico e Fisico di Milano (Search for Journal in Brave)

zbMATH Keywords

Banach latticesmeasure of noncompactnessinterpolation theoremnonlinear integral equations of Hammerstein typenonlinear noncompact operators

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) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Integral operators (47G10) Abstract interpolation of topological vector spaces (46M35)

Cites Work

• Lipschitz and Darbo conditions for the superposition operator in ideal spaces
• Implicit functions, nonlinear integral equations, and the measure of noncompactness of the superposition operator
• Punti uniti in trasformazioni a codominio non compatto
• On a theorem of M.A. Krasnosel'skij
• Some interpolation theory for nonlinear operators
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