6533b855fe1ef96bd12aff9c

RESEARCH PRODUCT

Fixed Points in Topological *-Algebras of Unbounded Operators

Fabio Bagarello

subject

Discrete mathematics47H10; 46N50Topological algebraGeneral MathematicsMathematics - Operator AlgebrasFOS: Physical sciencesMathematical Physics (math-ph)Fixed pointTopologyFixed-point propertyFixed point equationOperator algebraFOS: Mathematics46N50Operator Algebras (math.OA)Settore MAT/07 - Fisica MatematicaQuantumMathematical Physics47H10operator algebrasMathematics

description

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.

https://dx.doi.org/10.48550/arxiv.math-ph/0105005