3 papers
math.FA2026
Cesàro-Hardy operators on : fine spectrum, weighted Koopman semigroups and invariant subspaces
Luciano Abadías, Alejandro Mahillo, Pedro J. Miana
In this paper we study boundedness and detailed spectral properties for the Cesàro-Hardy operator and some generalizations in . The study employs -semigroup theory,…
math.FA2024
A Ritt-Kreiss condition: spectral localization and norm estimates
Alejandro Mahillo, Silvia Rueda
A new condition is introduced by generalizing the Ritt and Kreiss operators named -RK condition. Geometrical properties of the spectrum for the case are studied, mor…
math.OC2021
A Discrete Variational Derivation of Accelerated Methods in Optimization
Cédric M. Campos, Alejandro Mahillo, David Martín de Diego
Many of the new developments in machine learning are connected with gradient-based optimization methods. Recently, these methods have been studied using a variational perspective.…