On the Carleman ultradifferentiable vectors of a scalar type spectral operator
DOI:
Keywords:
Scalar type spectral operator, normal operator, Carleman classes of vectorsAbstract
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.References
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