On some properties of the superposition operator on topological manifolds

In this paper the superposition operator in the space of vector-valued, bounded and continuous functions on a topological manifold is considered. The acting conditions and criteria of continuity and compactness are established. As an application, an existence result for the nonlinear Hammerstein int...

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Bibliographic Details
Main Author: Janusz Dronka
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2010-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol30/1/art/opuscula_math_3005.pdf