| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2026 |
| Язык | английский |
|
Бикчентаев Айрат Мидхатович, автор
|
| Библиографическое описание на языке оригинала |
Bikchentaev A. M., Hyponormal measurable operators affiliated
with a semifinite von Neumann algebra. IV // Siberian Mathematical Journal. — 2026. — Vol. 67. — № 1. — Pp. 10--17. |
| Аннотация |
Let τ be a faithful normal semifinite trace on a von Neumann algebra M of operators. For a normal operator A in M, a condition on a τ-integrable operator B is found under which the
operator A + B is normal. For an operator whose square is τ -integrable, equivalent conditions for its normality are established in terms of trace inequalities. For an operator in M, a criterion for
hyponormality is found in terms of trace inequalities. It is shown that, given an arbitrary natural n, the power (PQ)n of the product of projections P and Q in M is hyponormal if and only if PQ = QP. Operator inequalities are obtained for powers of hyponormal contractions. It is shown that every natural power of a hyponormal partial isometry is a hyponormal partial isometry with the same initial space. |
| Ключевые слова |
Hilbert space, von Neumann algebra, normal trace, measurable operator, hyponormal operator, partial isometry |
| Название журнала |
SIBERIAN MATHEMATICAL JOURNAL
|
| Ссылка для РПД |
http://dspace.kpfu.ru/xmlui/bitstream/handle/net/185669/F_simj0010.pdf?sequence=1&isAllowed=y
|
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=323402 |
| Файлы ресурса | |
|
|
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Бикчентаев Айрат Мидхатович |
ru_RU |
| dc.date.accessioned |
2026-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2026-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2026 |
ru_RU |
| dc.identifier.citation |
Bikchentaev A. M., Hyponormal measurable operators affiliated
with a semifinite von Neumann algebra. IV // Siberian Mathematical Journal. — 2026. — Vol. 67. — № 1. — Pp. 10--17. |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=323402 |
ru_RU |
| dc.description.abstract |
SIBERIAN MATHEMATICAL JOURNAL |
ru_RU |
| dc.description.abstract |
Let τ be a faithful normal semifinite trace on a von Neumann algebra M of operators. For a normal operator A in M, a condition on a τ-integrable operator B is found under which the
operator A + B is normal. For an operator whose square is τ -integrable, equivalent conditions for its normality are established in terms of trace inequalities. For an operator in M, a criterion for
hyponormality is found in terms of trace inequalities. It is shown that, given an arbitrary natural n, the power (PQ)n of the product of projections P and Q in M is hyponormal if and only if PQ = QP. Operator inequalities are obtained for powers of hyponormal contractions. It is shown that every natural power of a hyponormal partial isometry is a hyponormal partial isometry with the same initial space. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
Hilbert space |
ru_RU |
| dc.subject |
von Neumann algebra |
ru_RU |
| dc.subject |
normal trace |
ru_RU |
| dc.subject |
measurable operator |
ru_RU |
| dc.subject |
hyponormal operator |
ru_RU |
| dc.subject |
partial isometry |
ru_RU |
| dc.title |
Hyponormal measurable operators affiliated
with a semifinite von Neumann algebra. IV |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
EN 
中文 
ES 
Карта сайта
