Alejandro Mahillo

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20212026

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math.FA2026

Cesàro-Hardy operators on $L^{p} [0, 1]$ : 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 $L^{p} [0, 1]$ . The study employs $C_{0}$ -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 $(α, β)$ -RK condition. Geometrical properties of the spectrum for the case $β < 1$ are studied, mor…

Cesàro-Hardy operators on Lp[0,1]: fine spectrum, weighted Koopman semigroups and invariant subspaces

A Ritt-Kreiss condition: spectral localization and norm estimates

Cesàro-Hardy operators on $L^{p} [0, 1]$ : fine spectrum, weighted Koopman semigroups and invariant subspaces