Harmonic Analysis of Nonquasianalytic Operators in a Real Banach Space
- Autores: Dikarev E.E.1, Polyakov D.M.1
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Afiliações:
- Voronezh State University
- Edição: Volume 213, Nº 6 (2016)
- Páginas: 823-831
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/237268
- DOI: https://doi.org/10.1007/s10958-016-2743-z
- ID: 237268
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Resumo
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.
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Sobre autores
E. Dikarev
Voronezh State University
Autor responsável pela correspondência
Email: heiligenkreuz@gmail.com
Rússia, 1., Universitetskaya pl., Voronezh, 394006
D. Polyakov
Voronezh State University
Email: heiligenkreuz@gmail.com
Rússia, 1., Universitetskaya pl., Voronezh, 394006
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