32 citations · 32 across the 2 of their papers we have counts for
6 papers
The spectral problem and *-representations of algebras associated with Dynkin graphs
Stanislav Krugljak, Stanislav Popovych, Yurii Samoilenko
We study the connection between *-representations of algebras associated with graphs, locally-scalar graph representations and the problem about the spectrum of a sum of two Hermit…
On C*-algebras generated by pairs of q-commuting isometries
Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii S. Samoilenko
We consider the C*-algebras O_2^q and A_2^q generated, respectively, by isometries s_1, s_2 satisfying the relation s_1^* s_2 = q s_2 s_1^* with |q| < 1 (the deformed Cuntz relatio…
Stability of C^*-algebra associated with the twisted CCR
Daniil Proskurin, Yurii Samoilenko
The -algebra associated with the twisted CCR constructed by W. Pusz and S.L. Woronowicz is considered. It is proved that the -algebras corresponding to different values o…
On bounded and unbounded idempotents whose sum is a multiple of the identity
Yurii Samoilenko, Lyudmila Turowska
We study bounded and unbounded representations of the -algebra generated by idempotents whose sum equals (, is the identity).
A family of *-algebras allowing Wick ordering: Fock representations and universal enveloping -algebras
Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii Samoilenko
We consider an abstract Wick ordering as a family of relations on elements a_i and define *-algebras by these relations. The relations are given by a fixed operator T:h\otimes h --…
The kernel of Fock representations of Wick algebras with braided operator of coefficients
Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii S. Samoilenko
It is shown that the kernel of the Fock representation of a certain Wick algebra with braided operator of coefficients T, || T ||<= 1, coincides with the largest quadratic Wick ide…