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arXiv · 1602.07077

On the Carleman ultradifferentiable vectors of a scalar type spectral operator

Marat V. Markin
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Abstract

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.

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Marat V. Markin. 2016-02-23. On the Carleman ultradifferentiable vectors of a scalar type spectral operator. https://arxiv.org/abs/1602.07077

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