English

On Isometric Representations of the Perforated Semigroup

Operator Algebras 2013-03-05 v1 Functional Analysis Group Theory

Abstract

We study isometric representations of the semigroup Z+\{1}\mathbb{Z}_+\backslash \{1\}. Notion of an inverse representation is introduced and a complete description (up to unitary equivalence) of such representations is given. Also, we study a class of non-inverse irreducible representations -- β\beta-representations of the semigroup Z+\{1}\mathbb{Z}_+\backslash \{1\}.

Keywords

Cite

@article{arxiv.1303.0387,
  title  = {On Isometric Representations of the Perforated Semigroup},
  author = {Suren A. Grigoryan and Vardan H. Tepoyan},
  journal= {arXiv preprint arXiv:1303.0387},
  year   = {2013}
}

Comments

Short communication, 5 pages

R2 v1 2026-06-21T23:35:28.194Z