I’m trying to understand the proof of Theorem 2.5.6 (chapter 2.5) in Amnon Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer 1983. For the direction (a) $ \implies$ (b) it would be helpful to have a proposition along the lines of: An analytic semigroup of bounded linear operators on a sectorRead more