Isometric dilations and $H^{\infty }$ calculus for bounded analytic semigroups and Ritt operators

Cédric Arhancet, Stephan Fackler, Christian Le Merdy

We show that any bounded analytic semigroup on $L^p$ (with $1<p<\infty$) whose negative generator admits a bounded $H^{\infty }$ functional calculus with respect to some angle $< π/…