On isometric representations of the semigroup ℤ+\{1}
V. H. Tepoyan · Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) · 2013
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.