Vardan Tepoyan's Publications (Full profile)

Paper

1. T.A. Grigoryan, E.V. Lipacheva, V.H. Tepoyan, ON THE EXTENSION OF THE TOEPLITZ ALGEBRA BY ISOMETRIES , The Varied Landscape of Operator Theory, Theta , pp. 137-146, (2014)
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   Abstract:

   We introduce the notion of $\pi$-extension of the semigroup $\mathbb{Z}_+$ and study the extensions of the Toeplitz algebras by isometric operators. We show that when the action of the Toeplitz algebra is irreducible all such extensions generate the same algebra, i.e. there are no non-trivial extensions of the Toeplitz algebra. Also we provide the examples of the non-trivial extensions of the Toeplitz algebra in case its representation is reducible.
2. V. H. Tepoyan, On isometric representations of the semigroup Z+\{1}, Journal of Contemporary Mathematical Analysis, 48, (2), pp. 78-84, (2013)
3. S. A. Grigoryan, V. H. Tepoyan, On isometric representations of the perforated semigroup, Lobachevskii Journal of Mathematics, 34, (1), pp. 85-88, (2013)
4. T. A. Grigoryan, E. V. Lipacheva, V. H. Tepoyan , On the extension of the Toeplitz algebra , Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 154, (4), pp. 130-138, (2012)
5. M. A. Aukhadiev, V. H. Tepoyan, Isometric representations of totally ordered semigroups, Lobachevskii Journal of Mathematics, 33, (3), pp. 239-243, (2012)