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From dynamical systems to commutativity in non-commutative operator algebras

Persson, Tomas LU and Silvestrov, Sergei LU (2003) Workshop Dynamical Systems from Number Theory to Probability 2 In Series: Mathematical Modelling in Physics, Engineering and Cognitive Science. 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
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Series: Mathematical Modelling in Physics, Engineering and Cognitive Science.
editor
Khrennikov, Andrei and
volume
6
pages
35 pages
publisher
Växjö University Press
conference name
Workshop Dynamical Systems from Number Theory to Probability 2
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
2008-01-22 12:06:30
date last changed
2018-05-29 11:13:39
@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},
}