| Форма представления | Тезисы и материалы конференций в российских журналах и сборниках |
| Год публикации | 2018 |
| Язык | английский |
|
Бикчентаев Айрат Мидхатович, автор
|
| Библиографическое описание на языке оригинала |
Bikchentaev A.M., On convexity and compactness of operator «intervals'' on Hilbert space / A.M. Bikchentaev // Internat. sci. confer. «Infinite-dimensional analysis and control theory« dedicated to the centenary of the outstanding Russian mathematician S.V. Fomin (Moscow, January 29 - February 01, 2018). - M., 2018. - P. 4. |
| Аннотация |
Internat. sci. confer. "Infinite-dimensional analysis and control theory" dedicated to the centenary of the outstanding Russian mathematician S.V. Fomin (Moscow, January 29 - February 01, 2018) |
| Ключевые слова |
Hilbert space, von Neumann algebra, operator order, convexity, compactness |
| Название журнала |
Internat. sci. confer. "Infinite-dimensional analysis and control theory" dedicated to the centenary of the outstanding Russian mathematician S.V. Fomin (Moscow, January 29 - February 01, 2018)
|
| Ссылка для РПД |
http://dspace.kpfu.ru/xmlui/bitstream/handle/net/118018/bikchentaev_abstract.pdf?sequence=1&isAllowed=y
|
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=173945 |
| Файлы ресурса | |
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Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Бикчентаев Айрат Мидхатович |
ru_RU |
| dc.date.accessioned |
2018-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2018-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2018 |
ru_RU |
| dc.identifier.citation |
Bikchentaev A.M., On convexity and compactness of operator «intervals'' on Hilbert space / A.M. Bikchentaev // Internat. sci. confer. «Infinite-dimensional analysis and control theory« dedicated to the centenary of the outstanding Russian mathematician S.V. Fomin (Moscow, January 29 - February 01, 2018). - M., 2018. - P. 4. |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=173945 |
ru_RU |
| dc.description.abstract |
Internat. sci. confer. "Infinite-dimensional analysis and control theory" dedicated to the centenary of the outstanding Russian mathematician S.V. Fomin (Moscow, January 29 - February 01, 2018) |
ru_RU |
| dc.description.abstract |
We consider a von Neumann algebra $M$ acting on a
Hilbert space $H$. For a positive operator $X$ in $M$ we define the
operator ``intervals'' $I_X=\{Y=Y^*\in M: \; -X \leq Y \leq X \}$ and
$L_X=\{Y \in M: \; |Y| \leq X \}$, where $|Y|=\sqrt{Y^*Y}$.
The properties of this operator ``intervals'' are investigated.
We prove that a von Neumann algebra $M$ is Abelian if and only if
$L_X$ is convex for all $X$ in $M$. We then show for $M=B(H)$, the algebra of all linear bounded
operators on $H$, that the operator ``interval'' $I_X$ is compact if and only if an operator $X$ is compact.
|
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
Hilbert space |
ru_RU |
| dc.subject |
von Neumann algebra |
ru_RU |
| dc.subject |
operator order |
ru_RU |
| dc.subject |
convexity |
ru_RU |
| dc.subject |
compactness |
ru_RU |
| dc.title |
On convexity and compactness of operator ``intervals'' on Hilbert space |
ru_RU |
| dc.type |
Тезисы и материалы конференций в российских журналах и сборниках |
ru_RU |
|
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