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Heisenberg-Lie commutation relations in Banach algebras.

Laustsen, Niels Jakob and Silvestrov, Sergei D. (2009) Heisenberg-Lie commutation relations in Banach algebras. Mathematical Proceedings of the Royal Irish Academy, 109 (2). pp. 163-186. ISSN 1393-7197

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      Abstract

      Given q1, q2 ∈ ℂ { 0 }, we construct a unital Banach algebra Bq1, q2 that contains a universal normalised solution to the (q1, q2)-deformed Heisenberg-Lie commutation relations in the following specific sense:

      Item Type: Article
      Journal or Publication Title: Mathematical Proceedings of the Royal Irish Academy
      Uncontrolled Keywords: Heisenberg-Lie commutation relations ; Banach algebra ; Banach *-algebra ; C*-algebra ; weighted shift operator
      Subjects: Q Science > QA Mathematics
      Departments: Faculty of Science and Technology > Mathematics and Statistics
      ID Code: 21077
      Deposited By: Dr Niels Jakob Laustsen
      Deposited On: 11 Dec 2008 10:11
      Refereed?: Yes
      Published?: Published
      Last Modified: 09 Oct 2013 13:14
      Identification Number:
      URI: http://eprints.lancs.ac.uk/id/eprint/21077

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