New counterexamples on Ritt operators, sectorial operators and R-boundedness

Loris Arnold, Christian Le Merdy

Let $\mathcal{D}$ be a Schauder decomposition on some Banach space $X$. We prove that if $\mathcal{D}$ is not $R$-Schauder, then there exists a Ritt operator $T\in B(X)$ which is a m…