Fixed Points in Topological *-Algebras of Unbounded Operators

  • Fabio Bagarello

    Università degli Studi di Palermo, Italy


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.

Cite this article

Fabio Bagarello, Fixed Points in Topological *-Algebras of Unbounded Operators. Publ. Res. Inst. Math. Sci. 37 (2001), no. 3, pp. 397–418

DOI 10.2977/PRIMS/1145477229