We discuss some results concerning fixed point equations in the setting of topological *-algebras of unbounded operators. In particular, an existence result is obtained for what we have called weak τ strict contractions, and some continuity properties of these maps are discussed. We also discuss possible applications of our procedure to quantum mechanical systems.
Bagarello, F. (2001). Fixed points in topological *-algebras of unbounded operators. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 37, 397-418.
Fixed points in topological *-algebras of unbounded operators
BAGARELLO, Fabio
2001-01-01
Abstract
We discuss some results concerning fixed point equations in the setting of topological *-algebras of unbounded operators. In particular, an existence result is obtained for what we have called weak τ strict contractions, and some continuity properties of these maps are discussed. We also discuss possible applications of our procedure to quantum mechanical systems.
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