Microspectral analysis of quasinilpotent operators

Jarmo Malinen, Olavi Nevanlinna, Jaroslav Zemánek

We develop a microspectral theory for quasinilpotent linear operators $Q$ (i.e., those with $σ(Q) = \{0}$) in a Banach space. When such $Q$ is not compact, normal, or nilpotent, th…