| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2020 |
| Язык | английский |
|
Бикчентаев Айрат Мидхатович, автор
|
| Библиографическое описание на языке оригинала |
A. M. Bikchentaev, Invariant Subspaces of Operators on a Hilbert Space
// Lobachevskii Journal of Mathematics, 2020, Vol. 41, No. 4, pp. 610--613
|
| Аннотация |
In year 2006 the author proposed an approach to the invariant subspace problem for
an operator on a Hilbert space, based on projection-convex combinations in C∗-algebras with the
unitary factorization property. In this paper, we present an operator inequality characterizing the
invariant subspace of such an operator. Eight corollaries are obtained. For an operator C*-algebra
A with a faithful trace, we give a sufficient condition of commutation for a partial isometry from A
with a projection onto its invariant subspace. |
| Ключевые слова |
Hilbert space, linear operator, invariant subspace, operator inequality, commutativity, projection, partial isometry, C*-algebra, trace |
| Название журнала |
Lobachevskii Journal of Mathematics
|
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=226712 |
| Файлы ресурса | |
|
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Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Бикчентаев Айрат Мидхатович |
ru_RU |
| dc.date.accessioned |
2020-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2020-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2020 |
ru_RU |
| dc.identifier.citation |
A. M. Bikchentaev, Invariant Subspaces of Operators on a Hilbert Space
// Lobachevskii Journal of Mathematics, 2020, Vol. 41, No. 4, pp. 610--613
|
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=226712 |
ru_RU |
| dc.description.abstract |
Lobachevskii Journal of Mathematics |
ru_RU |
| dc.description.abstract |
In year 2006 the author proposed an approach to the invariant subspace problem for
an operator on a Hilbert space, based on projection-convex combinations in C∗-algebras with the
unitary factorization property. In this paper, we present an operator inequality characterizing the
invariant subspace of such an operator. Eight corollaries are obtained. For an operator C*-algebra
A with a faithful trace, we give a sufficient condition of commutation for a partial isometry from A
with a projection onto its invariant subspace. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
Hilbert space |
ru_RU |
| dc.subject |
linear operator |
ru_RU |
| dc.subject |
invariant subspace |
ru_RU |
| dc.subject |
operator inequality |
ru_RU |
| dc.subject |
commutativity |
ru_RU |
| dc.subject |
projection |
ru_RU |
| dc.subject |
partial isometry |
ru_RU |
| dc.subject |
C*-algebra |
ru_RU |
| dc.subject |
trace |
ru_RU |
| dc.title |
Invariant Subspaces of Operators on a Hilbert Space
|
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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