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

[thumbnail of Finalversion_Dec2008_LaustsenSilvestrovHeisenbergLie.pdf]

Preview

PDF (Finalversion_Dec2008_LaustsenSilvestrovHeisenbergLie.pdf)
Finalversion_Dec2008_LaustsenSilvestrovHeisenbergLie.pdf
Download (270kB)

Preview

PDF (Finalversion_Dec2008_LaustsenSilvestrovHeisenbergLie.pdf)
Finalversion_Dec2008_LaustsenSilvestrovHeisenbergLie.pdf
Download (270kB)

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:

Journal Article

Journal or Publication Title:

Mathematical Proceedings of the Royal Irish Academy

Uncontrolled Keywords:

/dk/atira/pure/researchoutput/libraryofcongress/qa

Subjects:

?? heisenberg-lie commutation relationsbanach algebrabanach *-algebrac*-algebraweighted shift operatorqa 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:

03 Mar 2024 01:02

URI:

https://eprints.lancs.ac.uk/id/eprint/21077