Compressions of Resolvents and Maximal Radius of Regularity

C. Badea, M. Mbekhta

Suppose that $\lambda -T$ is left-invertible in $L(H)$ for all $\lambda \in \Omega$, where $\Omega$ is an open subset of the complex plane. Then an operator-valued function $L(\lambda )$ is a left resolvent of…