17 citations · 29 across the 15 of their papers we have counts for
10 papers · 1 filter
Universality arising from invertible weighted composition operators
Luciano Abadías, F. Javier González-Doña, Jesús Oliva-Maza
A linear operator acting boundedly on an infinite-dimensional separable complex Hilbert space is universal if every linear bounded operator acting on is similar to a sc…
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…
Poisson equation and discrete one-sided Hilbert transform for -bounded operators
Luciano Abadias, José E. Galé, Carlos Lizama
We characterize the solutions of the Poisson equation and the domain of its associated one-sided Hilbert transform for Cesàro bounded operators of fractional order. The results obt…
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…
Growth orders and ergodicity for absolutely Cesàro bounded operators
Luciano Abadias, Antonio Bonilla
In this paper, we extend the concept of absolutely Cesàro boundedness to the fractional case. We construct a weighted shift operator belonging to this class of operators, and we pr…
A Katznelson-Tzafriri type theorem for Cesàro bounded operators
Luciano Abadias
We extend the well-known Katznelson-Tzafriri theorem, originally posed for power-bounded operators, to the case of Cesàro bounded operators of any order For this purpose, we…
Sharp extensions and algebraic properties for solution families of vector-valued differential equations
Luciano Abadias, Carlos Lizama, Pedro J. Miana
In this paper we show the unexpected property that extension from local to global without loss of regularity holds for the solutions of a wide class of vector-valued differential e…
Cesáro sums and algebra homomorphisms of bounded operators
Luciano Abadias, Carlos Lizama, Pedro J. Miana +1
Let be a complex Banach space. The connection between algebra homomorphisms defined on subalgebras of the Banach algebra and the algebraic structure of…
A subordination principle on Wright functions and regularized resolvent families
Luciano Abadias, Pedro J. Miana
We obtain a vector-valued subordination principle for -regularized resolvent families which unified and improves various previous results in the literature. As a conseq…
Hermite expansions of -groups and cosine functions
Luciano Abadias, Pedro J. Miana
In this paper we introduce vector-valued Hermite expansions to approximate one-parameter operator families such as -groups and cosine functions. In both cases we estimate the…