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On isometric representations of the semigroup ℤ+\{1}

  • Operator Algebras
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Abstract

In this paper we study isometric representations of the semigroup ℤ+\{1}. The notion of inverse representation is introduced and a complete (to within unitary equivalence) description of such representations of that semigroup is provided. A class of irreducible non-inverse representations (β-representations of the semigroup ℤ+\{1}) is described.

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Authors and Affiliations

  1. Kazan State Power Engineering University, Kazan, Russia

    V. H. Tepoyan

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  1. V. H. Tepoyan
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Correspondence to V. H. Tepoyan.

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Original Russian Text © V. H. Tepoyan, 2013, published in Izvestiya NAN Armenii. Matematika, 2013, No. 2, pp. 51–62.

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Tepoyan, V.H. On isometric representations of the semigroup ℤ+\{1}. J. Contemp. Mathemat. Anal. 48, 78–84 (2013). https://doi.org/10.3103/S1068362313020040

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  • DOI: https://doi.org/10.3103/S1068362313020040

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