КФУ. Карточка публикации. On the systems of finite weights on the algebra of bounded operators and corresponding translation invariant measures

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ON THE SYSTEMS OF FINITE WEIGHTS ON THE ALGEBRA OF BOUNDED OPERATORS AND CORRESPONDING TRANSLATION INVARIANT MEASURES

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2019

Язык

английский

Авторы, сотрудники КФУ

Бикчентаев Айрат Мидхатович, автор

Другие авторы

Sakbaev Vsevolod Zhanovich, автор

Библиографическое описание на языке оригинала

A. M. Bikchentaev, OV. Zh. Sakbaev, On the systems of finite weights on the algebra of bounded operators and corresponding translation invariant measures //Lobachevskii Journal of Mathematics, 2019, Vol. 40, No. 8, pp. 1039–1044

Аннотация

We describe the class of translation invariant measures on the algebra B(H) of bounded linear operators on a Hilbert space H and some of its subalgebras. In order to achieve this we apply two steps. First we show that a total minimal system of finite weights on the operator algebra defines a family of rectangles in this algebra through construction of operator intervals. The second step is construction of a translation invariant measure on some subalgebras of algebra B(H) by the family of rectangles. The operator intervals in the Jordan algebra B(H)^{sa} is investigated. We also obtain some new operator inequalities.

Ключевые слова

Hilbert space, projection, operator interval, Jordan algebra, translation invariant measure, trace, Hilbert?Schmidt operator, operator inequality, convexity

Название журнала

Lobachevskii Journal of Mathematics

Ссылка для РПД

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/151737/F_LOJM1039.pdf?sequence=1&isAllowed=y

Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку

https://repository.kpfu.ru/?p_id=206282

Файлы ресурса

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F_LOJM1039.pdf	0,51	pdf	посмотреть / скачать

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Бикчентаев Айрат Мидхатович	ru_RU
dc.contributor.author	Sakbaev Vsevolod Zhanovich	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	A. M. Bikchentaev, OV. Zh. Sakbaev, On the systems of finite weights on the algebra of bounded operators and corresponding translation invariant measures //Lobachevskii Journal of Mathematics, 2019, Vol. 40, No. 8, pp. 1039–1044	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=206282	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	We describe the class of translation invariant measures on the algebra B(H) of bounded linear operators on a Hilbert space H and some of its subalgebras. In order to achieve this we apply two steps. First we show that a total minimal system of finite weights on the operator algebra defines a family of rectangles in this algebra through construction of operator intervals. The second step is construction of a translation invariant measure on some subalgebras of algebra B(H) by the family of rectangles. The operator intervals in the Jordan algebra B(H)^{sa} is investigated. We also obtain some new operator inequalities.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Hilbert space	ru_RU
dc.subject	projection	ru_RU
dc.subject	operator interval	ru_RU
dc.subject	Jordan algebra	ru_RU
dc.subject	translation invariant measure	ru_RU
dc.subject	trace	ru_RU
dc.subject	Hilbert?Schmidt operator	ru_RU
dc.subject	operator inequality	ru_RU
dc.subject	convexity	ru_RU
dc.title	On the systems of finite weights on the algebra of bounded operators and corresponding translation invariant measures	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU