Opuscula Math. 30, no. 1 (2010), 69-77
On some properties of the superposition operator on topological manifolds
Janusz Dronka
Abstract.
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 integral equation is obtained.
Keywords:
superposition operator, continuous function, topological manifold, Hammerstein integral equation.
Mathematics Subject Classification:
47H30, 45G15.
About the authors ▼
Janusz Dronka
Technical University of Rzeszów, Department of Mathematics, ul. W. Pola 2, 35-959 Rzeszów, Poland
About the article ▼
Received: 2009-08-18.
Revised: 2009-10-17.
Accepted: 2010-10-23.
Cite this article as ▼
Janusz Dronka, On some properties of the superposition operator on topological manifolds, Opuscula Math. 30, no. 1 (2010), 69-77,
http://dx.doi.org/10.7494/OpMath.2010.30.1.69.
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