КФУ. Карточка публикации. Subadditivity inequalities in von Neumann algebras and characterization of tracial functionals

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SUBADDITIVITY INEQUALITIES IN VON NEUMANN ALGEBRAS AND CHARACTERIZATION OF TRACIAL FUNCTIONALS

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2005

Язык

английский

Авторы, сотрудники КФУ

Тихонов Олег Евгеньевич, автор

Библиографическое описание на языке оригинала

Tikhonov O.E., Subadditivity inequalities in von Neumann algebras and characterization of tracial functionals//Positivity. - 2005. - Vol.9, Is.2. - P.259-264.

Аннотация

We examine under which assumptions on a positive normal functional φ on a von Neumann algebra, M and a Borel measurable function f: R+ → R with f(0) = 0 the subadditivity inequality φ (f(A+B)) ≤ φ(f(A))+φ (f (B)) holds true for all positive operators A, B in M. A corresponding characterization of tracial functionals among positive normal functionals on a von Neumann algebra is presented.

Ключевые слова

algebra of matrices, functional calculus, positive normal functional, subadditivity inequality, tracial functional, von Neumann algebra

Название журнала

POSITIVITY

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-27244445462&partnerID=40&md5=4a09c9553733f63f7502e76070f821a3

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https://repository.kpfu.ru/?p_id=138957

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Тихонов Олег Евгеньевич	ru_RU
dc.date.accessioned	2005-01-01T00:00:00Z	ru_RU
dc.date.available	2005-01-01T00:00:00Z	ru_RU
dc.date.issued	2005	ru_RU
dc.identifier.citation	Tikhonov O.E., Subadditivity inequalities in von Neumann algebras and characterization of tracial functionals//Positivity. - 2005. - Vol.9, Is.2. - P.259-264.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=138957	ru_RU
dc.description.abstract	POSITIVITY	ru_RU
dc.description.abstract	We examine under which assumptions on a positive normal functional φ on a von Neumann algebra, M and a Borel measurable function f: R+ → R with f(0) = 0 the subadditivity inequality φ (f(A+B)) ≤ φ(f(A))+φ (f (B)) holds true for all positive operators A, B in M. A corresponding characterization of tracial functionals among positive normal functionals on a von Neumann algebra is presented.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	algebra of matrices	ru_RU
dc.subject	functional calculus	ru_RU
dc.subject	positive normal functional	ru_RU
dc.subject	subadditivity inequality	ru_RU
dc.subject	tracial functional	ru_RU
dc.subject	von Neumann algebra	ru_RU
dc.title	Subadditivity inequalities in von Neumann algebras and characterization of tracial functionals	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU