KFU. Card publication. A non-commutative version of Nikishin's theorem

KAZAN
FEDERAL UNIVERSITY

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A NON-COMMUTATIVE VERSION OF NIKISHIN'S THEOREM

Form of presentation

Articles in international journals and collections

Year of publication

2015

Язык

английский

Authors, employees of KFU

Tikhonov Oleg Evgenevich, author

Bibliographic description in the original language

Tikhonov O.E, Veselova L.V., A non-commutative version of Nikishin's theorem//Indagationes Mathematicae. - 2015. - Vol.26, Is.1. - P.142-146.

Annotation

Let τ be a tracial normal state on a von Neumann algebra, L1(τ) be the space of integrable self-adjoint operators, and S be the space of self-adjoint measurable operators. We prove that every positive linear operator from an ordered Banach space to S can be factorized through L1(τ)

Keywords

Factorization of operators; Measurable operator; Positive operator; Tracial normal state; Von Neumann algebra

The name of the journal

Indagationes Mathematicae

URL

http://www.scopus.com/inward/record.url?eid=2-s2.0-84922523009&partnerID=40&md5=54d49933fe5613694f25f1d71d2f4fa8

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=138954&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Tikhonov Oleg Evgenevich	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
dc.identifier.citation	Tikhonov O.E, Veselova L.V., A non-commutative version of Nikishin's theorem//Indagationes Mathematicae. - 2015. - Vol.26, Is.1. - P.142-146.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=138954&p_lang=2	ru_RU
dc.description.abstract	Indagationes Mathematicae	ru_RU
dc.description.abstract	Let τ be a tracial normal state on a von Neumann algebra, L1(τ) be the space of integrable self-adjoint operators, and S be the space of self-adjoint measurable operators. We prove that every positive linear operator from an ordered Banach space to S can be factorized through L1(τ)	ru_RU
dc.language.iso	ru	ru_RU
dc.subject		ru_RU
dc.title	A non-commutative version of Nikishin's theorem	ru_RU
dc.type	Articles in international journals and collections	ru_RU