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

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

A NON-COMMUTATIVE VERSION OF NIKISHIN'S THEOREM

Form of presentation

Articles in international journals and collections

Year of publication

2014

Authors, employees of KFU

Tikhonov Oleg Evgenevich, author

Other authors

Veselova Lidiya Vladimirovna

Bibliographic description in the original language

Tikhonov O.E., Veselova L.V. A non-commutative version of Nikishin's theorem // Indagationes Mathematicae, DOI: 10.1016/j.indag.2014.09.001

Annotation

Let τ be a tracial normal state on a von Neumann algebra, L^1(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 L^1(τ).

Keywords

von Neumann algebra; tracial normal state; measurable operator; positive operator; factorization of operators

The name of the journal

Indagationes Mathematicae

URL

http://www.sciencedirect.com/science/article/pii/S0019357714000767

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

https://repository.kpfu.ru/eng/?p_id=86636&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Tikhonov Oleg Evgenevich	ru_RU
dc.date.accessioned	2014-01-01T00:00:00Z	ru_RU
dc.date.available	2014-01-01T00:00:00Z	ru_RU
dc.date.issued	2014	ru_RU
dc.identifier.citation	Tikhonov O.E., Veselova L.V. A non-commutative version of Nikishin's theorem // Indagationes Mathematicae, DOI: 10.1016/j.indag.2014.09.001	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=86636&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, L^1(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 L^1(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