We study irreducible integrable *-representations of the algebra \( {{\mathfrak{A}}_{{\lambda, 2}}} \) generated by the following relations:
For this *-algebra, we prove an analog of the von Neumann theorem on the uniqueness of irreducible integrable representation.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 4, pp. 538–545, April, 2013.
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Proskurin, D.P., Yakymiv, R.Y. On *-representations of λ-deformations of canonical commutation relations. Ukr Math J 65, 593–601 (2013). https://doi.org/10.1007/s11253-013-0797-3
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DOI: https://doi.org/10.1007/s11253-013-0797-3