Fixed Points in Topological *-Algebras of Unbounded Operators

Details Fixed Points in Topological *-Algebras of Unbounded Operators Fixed Points in Topological *-Algebras of Unbounded Operators

2001-05-03

arxiv.org/abs/math-ph/0105005v1

Physics

Mathematical Physics

in press in Publication RIMS

Scientific paper

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 {\em weak $\tau$ 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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