4 papers · 1 filter
Threshold Virtual States of a Jacobi operator
Saidakhmat N. Lakaev, Konstantin A. Makarov
We prove that the set of parameters for which a virtual level appears at the edge of the continuous spectrum of a Jacobi matrix with a finite-rank diagonal perturbation constitutes…
The c-Entropy of non-dissipative L-systems
Sergey Belyi, Konstantin A. Makarov, Eduard Tsekanovskii
In this paper, we extend the definition of c-entropy to canonical L-systems with non-dissipative state-space operators. We also introduce the concepts of dissipation and accumulati…
L-systems with Multiplication Operator and c-Entropy
Sergey Belyi, Konstantin Makarov, Eduard Tsekanovskii
In this note, we utilize the concepts of c-entropy and the dissipation coefficient in connection with canonical L-systems based on the multiplication (by a scalar) operator. Additi…
The c-Entropy optimality of Donoghue classes
Sergey Belyi, Konstantin Makarov, Eduard Tsekanovskii
In this note we evaluate c-Entropy of perturbed L-systems introduced in [5]. Explicit formulas relating the c-Entropy of the L-systems and the perturbation parameter are establishe…