15 citations · 74 across the 21 of their papers we have counts for
25 papers
Generators of -semigroups of weighted composition operators
Eva A. Gallardo-Gutiérrez, Aristomenis G. Siskakis, Dmitry Yakubovich
We prove that in a large class of Banach spaces of analytic functions in the unit disc an (unbounded) operator with analytic in $\math…
An operator model in the annulus
Glenier Bello, Dmitry Yakubovich
For an invertible linear operator on a Hilbert space , put \[ α(T^*,T) := -T^{*2}T^2 + (1+r^2) T^* T - r^2 I, \] where stands for the identity operator on and $r\in…
Functional models up to similarity and -contractions
Luciano Abadias, Glenier Bello, Dmitry Yakubovich
We study the generalization of -isometries and -contractions (for positive integers ) to what we call -isometries and -contractions for positive real numbers . We…
Operator inequalities I. Models and ergodicity
Luciano Abadias, Glenier Bello-Burguet, Dmitry Yakubovich
We discuss when an operator, subject to a rather general inequality in hereditary form, admits a unitarily equivalent functional model of Agler type in the reproducing kernel Hilbe…
Spectral dissection of finite rank perturbations of normal operators
Mihai Putinar, Dmitry Yakubovich
Finite rank perturbations of a bounded normal operator on a separable Hilbert space are studied thanks to a natural functional model of ; in its turn the functional…
Operator inequalities implying similarity to a contraction
Glenier Bello-Burguet, Dmitry Yakubovich
Let be a bounded linear operator on a Hilbert space such that \[ α[T^*,T]:=\sum_{n=0}^\infty α_n T^{*n}T^n\ge 0. \] where is a suitable ana…