Email this article Harmonic Analysis of Nonquasianalytic Operators in a Real Banach Space
- Authors: Dikarev E.E.1, Polyakov D.M.1
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Affiliations:
- Voronezh State University
- Issue: Vol 213, No 6 (2016)
- Pages: 823-831
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237268
- DOI: https://doi.org/10.1007/s10958-016-2743-z
- ID: 237268
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Abstract
In a real Banach space, we consider linear bounded invertible operators such that the norms of their powers are nonquasianalytic. We obtain the condition of the existence of a nontrivial invariant subspace and the condition of decomposability (in the sense of Foia¸s) of such operators. Bibliography: 14 titles.
About the authors
E. E. Dikarev
Voronezh State University
Author for correspondence.
Email: heiligenkreuz@gmail.com
Russian Federation, 1., Universitetskaya pl., Voronezh, 394006
D. M. Polyakov
Voronezh State University
Email: heiligenkreuz@gmail.com
Russian Federation, 1., Universitetskaya pl., Voronezh, 394006
