The browser you are using is not supported by this website. All versions of Internet Explorer are no longer supported, either by us or Microsoft (read more here: https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Please use a modern browser to fully experience our website, such as the newest versions of Edge, Chrome, Firefox or Safari etc.

Commuting Operators for Representations of Commutation Relations Defined by Dynamical Systems

På svenska

Author

Summary, in English

In this article, using orbits of the dynamical system generated by the function F, operator representations of commutation relations XX* = F (X* X) and AB = BF (A) are studied and used to investigate commuting operators expressed using polynomials in A and B. Various conditions on the function F, defining the commutation relations, are derived for monomials and polynomials in operators A and B to commute. These conditions are further studied for dynamical systems generated by affine and q-deformed power functions, and for the beta-shift dynamical system.

Department/s

Publishing year

2012

Language

English

Pages

1126-1165

Publication/Series

Numerical Functional Analysis and Optimization

Volume

33

Issue

7-9

Document type

Journal article

Publisher

Taylor & Francis

Topic

  • Mathematics

Keywords

  • Commutation relations
  • Commuting elements
  • Dynamical systems
  • Periodic
  • points
  • Representations
  • Spectral measure

Status

Published

Research group

  • Dynamical systems

ISBN/ISSN/Other

  • ISSN: 1532-2467