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From dynamical systems to commutativity in non-commutative operator algebras

Persson, Tomas LU orcid and Silvestrov, Sergei LU (2003) Workshop Dynamical Systems from Number Theory to Probability 2 6. p.109-143
Abstract
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.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
host publication
Series: Mathematical Modelling in Physics, Engineering and Cognitive Science.
editor
Khrennikov, Andrei
volume
6
pages
35 pages
publisher
Växjö University Press
conference name
Workshop Dynamical Systems from Number Theory to Probability 2
conference location
Växjö University, Växjö, Sweden
conference dates
2002-12-06
ISSN
1651-0267
ISBN
91-7636-386-4
project
Non-commutative Analysis of Dynamics, Fractals and Wavelets
language
English
LU publication?
yes
id
1233ebad-9339-4933-b4bc-88053c50ce13 (old id 627367)
date added to LUP
2016-04-01 16:55:35
date last changed
2018-11-21 20:45:16
@inproceedings{1233ebad-9339-4933-b4bc-88053c50ce13,
  abstract     = {{This article is devoted to investigation of connection of operator representations of commutation relations<br/><br>
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 <br/><br>
beta-shift dynamical system.}},
  author       = {{Persson, Tomas and Silvestrov, Sergei}},
  booktitle    = {{Series: Mathematical Modelling in Physics, Engineering and Cognitive Science.}},
  editor       = {{Khrennikov, Andrei}},
  isbn         = {{91-7636-386-4}},
  issn         = {{1651-0267}},
  language     = {{eng}},
  pages        = {{109--143}},
  publisher    = {{Växjö University Press}},
  title        = {{From dynamical systems to commutativity in non-commutative operator algebras}},
  volume       = {{6}},
  year         = {{2003}},
}