SOME PROPERTIES OF OPERATOR EXPONENT

Lyudmila F. Korkina; Mark A. Rekant

doi:10.15826/umj.2018.2.005

SOME PROPERTIES OF OPERATOR EXPONENT

Результат исследований: Вклад в журнал › Статья

Аннотация

We study operators given by series, in particular, operators of the form eB = ∑ n=0∞ Bn/n!, where B is an operator acting in a Banach space X. A corresponding example is provided. In our future research, we will use these operators for introducing and studying functions of operators constructed (with the use of the Cauchy integral formula) on the basis of scalar functions and admitting a faster than power growth at infinity.

Язык оригинала	Английский
Страницы (с-по)	33-42
Журнал	Ural Mathematical Journal
Том	4
Номер выпуска	2 (7)
DOI	https://doi.org/10.15826/umj.2018.2.005
Состояние	Опубликовано - 2018

ГРНТИ

27.00.00 МАТЕМАТИКА

Уровень публикации

Перечень ВАК

Ссылки

10.15826/umj.2018.2.005

http://elibrary.ru/item.asp?id=36702171

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abstract = "We study operators given by series, in particular, operators of the form eB = ∑ n=0∞ Bn/n!, where B is an operator acting in a Banach space X. A corresponding example is provided. In our future research, we will use these operators for introducing and studying functions of operators constructed (with the use of the Cauchy integral formula) on the basis of scalar functions and admitting a faster than power growth at infinity.",

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