KFU. Card publication. A non-commutative Yosida-Hewitt theorem and convex sets of measurable operators closed locally in measure

KAZAN
FEDERAL UNIVERSITY

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A NON-COMMUTATIVE YOSIDA-HEWITT THEOREM AND CONVEX SETS OF MEASURABLE OPERATORS CLOSED LOCALLY IN MEASURE

Form of presentation

Articles in international journals and collections

Year of publication

2005

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Authors, employees of KFU

Tikhonov Oleg Evgenevich, author

Bibliographic description in the original language

Dodds P.G, Dodds T.K, Sukochev F.A, A non-commutative Yosida-Hewitt theorem and convex sets of measurable operators closed locally in measure//Positivity. - 2005. - Vol.9, Is.3. - P.457-484.

Annotation

We present a non-commutative extension of the classical Yosida–Hewitt decomposition of a finitely additive measure into its σ-additive and singular parts. Several applications are given to the characterisation of bounded convex sets in Banach spaces of measurable operators which are closed locally in measure.

Keywords

non-commutative, Banach function spaces, singular, functionals, measurable operators, local convergence in measure, Köthe duality

The name of the journal

POSITIVITY

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-27644511674&partnerID=40&md5=0c0635c132ea98c24259ceee18192277

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

https://repository.kpfu.ru/eng/?p_id=138956&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Tikhonov Oleg Evgenevich	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	Dodds P.G, Dodds T.K, Sukochev F.A, A non-commutative Yosida-Hewitt theorem and convex sets of measurable operators closed locally in measure//Positivity. - 2005. - Vol.9, Is.3. - P.457-484.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=138956&p_lang=2	ru_RU
dc.description.abstract	POSITIVITY	ru_RU
dc.description.abstract	We present a non-commutative extension of the classical Yosida–Hewitt decomposition of a finitely additive measure into its σ-additive and singular parts. Several applications are given to the characterisation of bounded convex sets in Banach spaces of measurable operators which are closed locally in measure.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	non-commutative	ru_RU
dc.subject	Banach function spaces	ru_RU
dc.subject	singular	ru_RU
dc.subject	functionals	ru_RU
dc.subject	measurable operators	ru_RU
dc.subject	local convergence in measure	ru_RU
dc.subject	Köthe duality	ru_RU
dc.title	A non-commutative Yosida-Hewitt theorem and convex sets of measurable operators closed locally in measure	ru_RU
dc.type	Articles in international journals and collections	ru_RU