КФУ. Карточка публикации. Measures on orthoideals and L 1-spaces associated with positive operators

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MEASURES ON ORTHOIDEALS AND L 1-SPACES ASSOCIATED WITH POSITIVE OPERATORS

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2016

Язык

английский

Авторы, сотрудники КФУ

Новиков Андрей Андреевич, автор

Тихонов Олег Евгеньевич, автор

Библиографическое описание на языке оригинала

Novikov A.A, Tikhonov O.E., Measures on orthoideals and L 1-spaces associated with positive operators//Lobachevskii Journal of Mathematics. - 2016. - Vol.37, Is.4. - P.497-499.

Аннотация

We study measures on orthoideals in the set of projections in von Neumann algebra, which appear within a framework of L1-spaces associated with positive operators in the algebra. We show that there exists a positive measure on orthoideal, which cannot be extended to a normal weight on the algebra, but can be represented as a difference of two positive measures extendable to normal weights.

Ключевые слова

measure on orthoideal, sesquilinear form, regular measure, normal semifinite weight, regular decomposition, von Neumann algebra, W*-algebra

Название журнала

Lobachevskii Journal of Mathematics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84978529108&partnerID=40&md5=81ce22bcd53f01e313a2b91f4d38ad52

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https://repository.kpfu.ru/?p_id=138913

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Новиков Андрей Андреевич	ru_RU
dc.contributor.author	Тихонов Олег Евгеньевич	ru_RU
dc.date.accessioned	2016-01-01T00:00:00Z	ru_RU
dc.date.available	2016-01-01T00:00:00Z	ru_RU
dc.date.issued	2016	ru_RU
dc.identifier.citation	Novikov A.A, Tikhonov O.E., Measures on orthoideals and L 1-spaces associated with positive operators//Lobachevskii Journal of Mathematics. - 2016. - Vol.37, Is.4. - P.497-499.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=138913	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	We study measures on orthoideals in the set of projections in von Neumann algebra, which appear within a framework of L1-spaces associated with positive operators in the algebra. We show that there exists a positive measure on orthoideal, which cannot be extended to a normal weight on the algebra, but can be represented as a difference of two positive measures extendable to normal weights.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	measure on orthoideal	ru_RU
dc.subject	sesquilinear form	ru_RU
dc.subject	regular measure	ru_RU
dc.subject	normal semifinite weight	ru_RU
dc.subject	regular decomposition	ru_RU
dc.subject	von Neumann algebra	ru_RU
dc.subject	W*-algebra	ru_RU
dc.title	Measures on orthoideals and L 1-spaces associated with positive operators	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU