KFU. Card publication. Subadditivity inequalities in von Neumann algebras and characterization of tracial functionals

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FEDERAL UNIVERSITY

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SUBADDITIVITY INEQUALITIES IN VON NEUMANN ALGEBRAS AND CHARACTERIZATION OF TRACIAL FUNCTIONALS

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

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

Annotation

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.

Keywords

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

The name of the journal

POSITIVITY

URL

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

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

https://repository.kpfu.ru/eng/?p_id=138957&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	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/eng/?p_id=138957&p_lang=2	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	Articles in international journals and collections	ru_RU