Oualid Bouabdillah

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math.FA2025

Polygonal functional calculus for operators with finite peripheral spectrum

Oualid Bouabdillah, Christian Le Merdy

Let $T : X \to X$ be a bounded operator on Banach space, whose spectrum $I ¨ (T)$ is included in the closed unit disc $D$ . Assume that the peripheral spectrum $…

math.FA2024

Square functions associated with Ritt $_{E}$ operators

Oualid Bouabdillah

For a subset $E = {I^¾_{1}, ..., I^¾_{N}}$ of the unit circle $T$ , the notion of Ritt $_{E}$ operators on a Banach space and their functional calculus on generalized Stolz domain…

Polygonal functional calculus for operators with finite peripheral spectrum

Square functions associated with RittE​ operators

Square functions associated with Ritt $_{E}$ operators