Harmonic Analysis of Nonquasianalytic Operators in a Real Banach Space
- Авторы: Dikarev E.1, Polyakov D.1
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Учреждения:
- Voronezh State University
- Выпуск: Том 213, № 6 (2016)
- Страницы: 823-831
- Раздел: 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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Аннотация
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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Об авторах
E. Dikarev
Voronezh State University
Автор, ответственный за переписку.
Email: heiligenkreuz@gmail.com
Россия, 1., Universitetskaya pl., Voronezh, 394006
D. Polyakov
Voronezh State University
Email: heiligenkreuz@gmail.com
Россия, 1., Universitetskaya pl., Voronezh, 394006