15 citations · 74 across the 21 of their papers we have counts for
4 papers · 1 filter
Completeness of rank one perturbations of normal operators with lacunary spectrum
Anton D. Baranov, Dmitry V. Yakubovich
Suppose is a compact normal operator on a Hilbert space with certain lacunarity condition on the spectrum (which means, in particular, that its eigenvalues go to…
One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum
Anton D. Baranov, Dmitry V. Yakubovich
We study spectral properties of one-dimensional singular perturbations of an unbounded selfadjoint operator and give criteria for the possibility to remove the whole spectrum by a…
-functional calculus and models of Nagy-Foiaş type for sectorial operators
José E. Galé, Pedro J. Miana, Dmitry Yakubovich
We prove that a sectorial operator admits an H-infty - functional calculus if and only if it has a functional model of Nagy-Foias type. Furthermore, we give a concrete formula for…
Real Separated Algebraic Curves, Quadrature Domains, Ahlfors Type Functions and Operator Theory
Dmitry V. Yakubovich
The aim of this paper is to inter-relate several algebraic and analytic objects, such as real-type algebraic curves, quadrature domains, functions on them and rational matrix funct…