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7 papers · 1 filter
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…
On the c-entropy of L-systems with Schrodinger operator
Sergey Belyi, Konstantin Makarov, Eduard Tsekanovskii
We study L-systems whose main operators are extensions of one-dimensional half-line Schrödinger operators with deficiency indices , the Schrödinger L-systems. Introducing n…
On realization of the original Weyl-Titchmarsh functions by Shrödinger L-systems
Sergey Belyi, Eduard Tsekanovskii
We study realizations generated by the original Weyl-Titchmarsh functions and . It is shown that the Herglotz-Nevanlinna functions and $(1/m_…
On dissipative and non-unitary solutions to operator commutation relations
K. A. Makarov, E. Tsekanovskii
We study the (generalized) semi-Weyl commutation relations $$ U_gAU_g^*=g(A) \quad \text{ on }\quad \Dom(A), $$ where is a densely defined operator and is a…
Stieltjes like functions and inverse problems for systems with Schrödinger operator
Sergey Belyi, Eduard Tsekanovskii
A class of scalar Stieltjes like functions is realized as linear-fractional transformations of transfer functions of conservative systems based on a Schrödinger operator T_h in $L_…