12 citations · 15 across the 4 of their papers we have counts for
4 papers
On the Extension of B. Sz.-Nagy's Dilation Theorem to Linear Pencils of Operators
Dmitriy S. Kalyuzhniy
The explicit constructions of minimal isometric, and minimal unitary dilations of an arbitrary linear pencil of operators consisting of contractions on a separable…
Cascade Connection of Multiparametric Linear Systems and a Conservative Realization of Decomposable Inner Operator Functions in Bidisk
Dmitriy S. Kalyuzhniy
We introduce the notion of cascade connection of multiparametric discrete time-invariant linear dynamical systems with unit delay. This allows us to construct the explicit example…
Cascade Connections of Linear Systems and Factorizations of Holomorphic Operator Functions Around a Multiple Zero in Several Variables
Dmitriy S. Kalyuzhniy
We show that the factorization problem is solvable in the class of Hilbert space operator-valued functions holomorphic on some neighbourhood of in $\nspac…
On the von Neumann Inequality for Linear Matrix Functions of Several Variables
Dmitriy S. Kalyuzhniy
The theorem on the existence of three commuting contractions on a Hilbert space and of a linear homogeneous matrix function of three independent variables for which the generalized…