4 citations · 16 across the 17 of their papers we have counts for
10 papers · 1 filter
A discrete Mellin calculus in the Toeplitz algebra
Carlo Bellavita, Georgios Stylogiannis
We prove that the classical Cesàro operator belongs to the Toeplitz algebra, providing an independent solution to a question raised by Barría and Halmos. Our approach is based on a…
Interchanging limits in the mutual information of two intervals separated by one site
Carlo Bellavita, Jani A. Virtanen
In the paper J. Phys. A: Math. Theor. 53 (2020), 345303, the limiting mutual information between two intervals separated by one lattice site in a free-fermion chain was evaluated.…
Spectrum of Hausdorff operators on weighted Bergman and Hardy spaces of the upper half-plane
Carlo Bellavita, Georgios Stylogiannis
We characterize the spectrum of Hausdorff operators on weighted Bergman and power weighted Hardy spaces of the upper half-plane.
On Toeplitz operators on
Carlo Bellavita, Marco M. Peloso
In this paper we consider Toeplitz operators with anti-analytic symbols on . It is well known that there are no bounded Toeplitz operators $T_{\overlineΘ}\colon…
Boundedness, compactness and Schatten class for Rhaly matrices
Carlo Bellavita, Eugenio Dellepiane, Georgios Stylogiannis
In this article we present new proofs for the boundedness and the compactness on of the Rhaly matrices, also known as terraced matrices. We completely characterize when su…
On the Hilbert matrix operator: a brief survey
Carlo Bellavita, Vassilis Daskalogiannis, Georgios Stylogiannis
This article aims to explore the most recent developments in the study of the Hilbert matrix, acting as an operator on spaces of analytic functions and sequence spaces. We present…
On asymptotic and essential Toeplitz and Hankel integral operator
C. Bellavita, G. Stylogiannis
In this article we consider the generalized integral operators acting on the Hilbert space . We characterize when these operators are uniform, strong and weakly asymptotic Toe…
Hilbert matrix operator acting between conformally invariant spaces
Carlo Bellavita, Georgios Stylogiannis
In this article we study the action of the the Hilbert matrix operator from the space of bounded analytic functions into conformally invariant Banach spaces. In partic…
Duality, and Hankel operators on Bernstein spaces
Carlo Bellavita, Marco M. Peloso
In this paper we deal with the problem of describing the dual space of the Bernstein space , that is the space of entire functions of exponential type at most $κ…
Generalized Hilbert operators arising from Hausdorff matrices
Carlo Bellavita, Nikolaos Chalmoukis, Vassilis Daskalogiannis +1
For a finite, positive, Borel measure on we consider an infinite matrix , related to the classical Hausdorff matrix defined by the same measure , in the same al…