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Commuting Operators for Representations of Commutation Relations Defined by Dynamical Systems
Lund University.
Mälardalen University, School of Education, Culture and Communication. (Matematik/tillämpad matematik)ORCID iD: 0000-0003-4554-6528
2012 (English)In: Numerical Functional Analysis and Optimization, ISSN 0163-0563, Vol. 33, no 7-9, p. 1126-1165Article in journal (Refereed) Published
Abstract [en]

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 -shift dynamical system.

Place, publisher, year, edition, pages
2012. Vol. 33, no 7-9, p. 1126-1165
National Category
Mathematical Analysis Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-17936DOI: 10.1080/01630563.2012.682143ISI: 000307080400020Scopus ID: 2-s2.0-84864719377OAI: oai:DiVA.org:mdh-17936DiVA, id: diva2:589147
Funder
Swedish Research Council, 20076338Available from: 2013-01-17 Created: 2013-01-17 Last updated: 2014-06-13Bibliographically approved

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Silvestrov, Sergei

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