Glenier Bello-Burguet

collaborators

2 papers

math.FA2019

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…

math.FA2017

Operator inequalities implying similarity to a contraction

Glenier Bello-Burguet, Dmitry Yakubovich

Let $T$ be a bounded linear operator on a Hilbert space $H$ such that \[ α[T^*,T]:=\sum_{n=0}^\infty α_n T^{*n}T^n\ge 0. \] where $α (t) = \sum_{n = 0}^{\infty} α_{n} t^{n}$ is a suitable ana…