3 papers
math.FA2018
Similarity Techniques in the Spectral Analysis of Perturbed Operator Matrices
Anatoly G. Baskakov, Ilya A. Krishtal, Natalia B. Uskova
We develop the method of similar operators to study the spectral properties of unbounded perturbed linear operators that can be represented by matrices of various kinds. The class…
math.SP2018
General Dirac Operators as Generators of Operator Groups
Anatoly G. Baskakov, Ilya A. Krishtal, Natalia B. Uskova
We use the method of similar operators to study a general Dirac operator and its spectral properties. We find a similar operator to the Dirac operator that is an orthogonal dir…
math.SP2018
Linear Differential Operator with an Involution as a Generator of an Operator Group
Anatoly G. Baskakov, Ilya A. Krishtal, Natalia B. Uskova
We use the method of similar operators to study a mixed problem for a differential equation with an involution and an operator-valued potential function. The differential operator…