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arXiv:1602.07077 [math.FA]AbstractReferencesReviewsResources

On the Carleman ultradifferentiable vectors of a scalar type spectral operator

Marat V. Markin

Published 2016-02-23Version 1

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.

Journal: Methods Funct. Anal. Topol. {\bf 21} (2015), no. 4, 361--370
Categories: math.FA
Subjects: 47B40, 47B15
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