English

Fixed Points in Topological *-Algebras of Unbounded Operators

Mathematical Physics 2007-05-23 v1 math.MP Operator Algebras

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 {\em weak τ\tau strict contractions}, and some continuity properties of these maps are discussed. We also discuss possible applications of our procedure to quantum mechanical systems.

Keywords

Cite

@article{arxiv.math-ph/0105005,
  title  = {Fixed Points in Topological *-Algebras of Unbounded Operators},
  author = {F. Bagarello},
  journal= {arXiv preprint arXiv:math-ph/0105005},
  year   = {2007}
}

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