From dynamical systems to commutativity in non-commutative operator algebras
Författare
Redaktör
- Andrei Khrennikov
Summary, in English
This article is devoted to investigation of connection of operator representations of commutation relations
XX*=F(X*X) and AB = BF(A) to periodic points and orbits of the dynamical system generated by the function F. Conditions on the general function F for two monomials in operators A and B to commute are derived. These conditions are further studied for dynamical systems generated by affine and q-deformed power functions, and for the
beta-shift dynamical system.
XX*=F(X*X) and AB = BF(A) to periodic points and orbits of the dynamical system generated by the function F. Conditions on the general function F for two monomials in operators A and B to commute are derived. These conditions are further studied for dynamical systems generated by affine and q-deformed power functions, and for the
beta-shift dynamical system.
Avdelning/ar
- Matematik LTH
- Dynamical systems
Publiceringsår
2003
Språk
Engelska
Sidor
109-143
Publikation/Tidskrift/Serie
Series: Mathematical Modelling in Physics, Engineering and Cognitive Science.
Volym
6
Dokumenttyp
Konferensbidrag
Förlag
Växjö University Press
Ämne
- Mathematics
Conference name
Workshop Dynamical Systems from Number Theory to Probability 2
Conference date
2002-12-06
Conference place
Växjö University, Växjö, Sweden
Status
Published
Projekt
- Non-commutative Analysis of Dynamics, Fractals and Wavelets
Forskningsgrupp
- Non-commutative Geometry
- Dynamical systems
ISBN/ISSN/Övrigt
- ISSN: 1651-0267
- ISBN: 91-7636-386-4