On certain spectral features inherent to scalar type spectral operators

Abstract

Important spectral features, such as the emptiness of the residual spectrum, countability of the point spectrum, provided the space is separable, and a characterization of spectral gap at $0$, known to hold for bounded scalar type spectral operators, are shown to naturally transfer to the unbounded case.

Cited by in corpus (2)

• On the mean ergodicity of weak solutions of an abstract evolution equation
• On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis