KFU. Card publication. 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

Form of presentation

Articles in international journals and collections

Year of publication

2016

Язык

английский

Authors, employees of KFU

Novikov Andrey Andreevich, author

Tikhonov Oleg Evgenevich, author

Bibliographic description in the original language

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.

Annotation

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.

Keywords

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

The name of the journal

Lobachevskii Journal of Mathematics

URL

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

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

https://repository.kpfu.ru/eng/?p_id=138913&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Novikov Andrey Andreevich	ru_RU
dc.contributor.author	Tikhonov Oleg Evgenevich	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/eng/?p_id=138913&p_lang=2	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	Articles in international journals and collections	ru_RU