  A description of the Carleman classes of vectors, in particular the Gevrey
classes, of a scalar type spectral operator in a reflexive complex Banach space
is shown to remain true without the reflexivity requirement. A similar nature
description of the entire vectors of exponential type, known for a normal
operator in a complex Hilbert space, is generalized to the case of a scalar
type spectral operator in a complex Banach space.
