M. N. Reshmi

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math.FA2026

Connecting $H^{\infty}$ -functional calculus and isometric dilations for commuting families of Ritt $_{E}$ operators

Christian Le Merdy, M. N. Reshmi

Let $(T_{1}, \dots, T_{d})$ be a commuting $d$ -tuple of Ritt $_{E}$ operators on some UMD Banach space $X$ . We show that $(T_{1}, \dots, T_{d})$ admits a bounded $H^{\infty}$ -functional calculus…

math.FA2024

Commuting families of polygonal type operators on Hilbert space

Christian Le Merdy, M. N. Reshmi

Let $T : H \to H$ be a bounded operator on Hilbert space. We say that $T$ has a polygonal type if there exists an open convex polygon $Δ \subset D$ , with $\overlineΔ\ca…

Connecting H∞-functional calculus and isometric dilations for commuting families of RittE​ operators

Commuting families of polygonal type operators on Hilbert space

Connecting $H^{\infty}$ -functional calculus and isometric dilations for commuting families of Ritt $_{E}$ operators